Notice (8) : Trying to access array offset on value of type null [in /var/www/sfb1283/sfbweb/src/Controller/ProjectsController.php, line 34]

Code

                    ])->formatResults(fn(CollectionInterface $results) => $results->map(function ($row) {
                            $n = preg_match( '/[A-Z]/', $row['person']['last_name'], $matches, PREG_OFFSET_CAPTURE );
                            //debug($row['person']['last_name']);

App\Controller\ProjectsController->App\Controller\{closure}() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Collection/Iterator/ReplaceIterator.php, line 73
Cake\Collection\Iterator\ReplaceIterator->current() [internal], line ??
IteratorIterator->rewind() [internal], line ??
IteratorIterator->rewind() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Collection/Iterator/BufferedIterator.php, line 116
Cake\Collection\Iterator\BufferedIterator->rewind() [internal], line ??
IteratorIterator->rewind() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Association/Loader/SelectWithPivotLoader.php, line 177
Cake\ORM\Association\Loader\SelectWithPivotLoader->_buildResultMap() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Association/Loader/SelectLoader.php, line 128
Cake\ORM\Association\Loader\SelectLoader->buildEagerLoader() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Association/BelongsToMany.php, line 575
Cake\ORM\Association\BelongsToMany->eagerLoader() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/EagerLoader.php, line 674
Cake\ORM\EagerLoader->loadExternal() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Query.php, line 1167
Cake\ORM\Query->_execute() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Datasource/QueryTrait.php, line 305
Cake\ORM\Query->_all() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Query.php, line 1115
Cake\ORM\Query->all() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Datasource/QueryTrait.php, line 322
Cake\ORM\Query->toArray() /var/www/sfb1283/sfbweb/src/Controller/ProjectsController.php, line 58
App\Controller\ProjectsController->view() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/Controller.php, line 560
Cake\Controller\Controller->invokeAction() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 140
Cake\Controller\ControllerFactory->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 115
Cake\Controller\ControllerFactory->invoke() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/BaseApplication.php, line 325
Cake\Http\BaseApplication->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 86
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/RoutingMiddleware.php, line 189
Cake\Routing\Middleware\RoutingMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/AssetMiddleware.php, line 68
Cake\Routing\Middleware\AssetMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Error/Middleware/ErrorHandlerMiddleware.php, line 149
Cake\Error\Middleware\ErrorHandlerMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 67
Cake\Http\Runner->run() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Server.php, line 99
Cake\Http\Server->run() /var/www/sfb1283/sfbweb/webroot/index.php, line 37
[main]

Notice (8) : Trying to access array offset on value of type null [in /var/www/sfb1283/sfbweb/src/Controller/ProjectsController.php, line 36]

Code

                            //debug($row['person']['last_name']);
                            $row['order_name'] = ($n? substr($row['person']['last_name'], $matches[0][1]):$row['person']['last_name']) . $row['person']['first_name'];
                            return $row;

App\Controller\ProjectsController->App\Controller\{closure}() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Collection/Iterator/ReplaceIterator.php, line 73
Cake\Collection\Iterator\ReplaceIterator->current() [internal], line ??
IteratorIterator->rewind() [internal], line ??
IteratorIterator->rewind() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Collection/Iterator/BufferedIterator.php, line 116
Cake\Collection\Iterator\BufferedIterator->rewind() [internal], line ??
IteratorIterator->rewind() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Association/Loader/SelectWithPivotLoader.php, line 177
Cake\ORM\Association\Loader\SelectWithPivotLoader->_buildResultMap() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Association/Loader/SelectLoader.php, line 128
Cake\ORM\Association\Loader\SelectLoader->buildEagerLoader() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Association/BelongsToMany.php, line 575
Cake\ORM\Association\BelongsToMany->eagerLoader() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/EagerLoader.php, line 674
Cake\ORM\EagerLoader->loadExternal() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Query.php, line 1167
Cake\ORM\Query->_execute() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Datasource/QueryTrait.php, line 305
Cake\ORM\Query->_all() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Query.php, line 1115
Cake\ORM\Query->all() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Datasource/QueryTrait.php, line 322
Cake\ORM\Query->toArray() /var/www/sfb1283/sfbweb/src/Controller/ProjectsController.php, line 58
App\Controller\ProjectsController->view() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/Controller.php, line 560
Cake\Controller\Controller->invokeAction() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 140
Cake\Controller\ControllerFactory->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 115
Cake\Controller\ControllerFactory->invoke() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/BaseApplication.php, line 325
Cake\Http\BaseApplication->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 86
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/RoutingMiddleware.php, line 189
Cake\Routing\Middleware\RoutingMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/AssetMiddleware.php, line 68
Cake\Routing\Middleware\AssetMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Error/Middleware/ErrorHandlerMiddleware.php, line 149
Cake\Error\Middleware\ErrorHandlerMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 67
Cake\Http\Runner->run() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Server.php, line 99
Cake\Http\Server->run() /var/www/sfb1283/sfbweb/webroot/index.php, line 37
[main]

Notice (8) : Trying to access array offset on value of type null [in /var/www/sfb1283/sfbweb/src/Controller/ProjectsController.php, line 36]

Code

                            //debug($row['person']['last_name']);
                            $row['order_name'] = ($n? substr($row['person']['last_name'], $matches[0][1]):$row['person']['last_name']) . $row['person']['first_name'];
                            return $row;

App\Controller\ProjectsController->App\Controller\{closure}() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Collection/Iterator/ReplaceIterator.php, line 73
Cake\Collection\Iterator\ReplaceIterator->current() [internal], line ??
IteratorIterator->rewind() [internal], line ??
IteratorIterator->rewind() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Collection/Iterator/BufferedIterator.php, line 116
Cake\Collection\Iterator\BufferedIterator->rewind() [internal], line ??
IteratorIterator->rewind() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Association/Loader/SelectWithPivotLoader.php, line 177
Cake\ORM\Association\Loader\SelectWithPivotLoader->_buildResultMap() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Association/Loader/SelectLoader.php, line 128
Cake\ORM\Association\Loader\SelectLoader->buildEagerLoader() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Association/BelongsToMany.php, line 575
Cake\ORM\Association\BelongsToMany->eagerLoader() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/EagerLoader.php, line 674
Cake\ORM\EagerLoader->loadExternal() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Query.php, line 1167
Cake\ORM\Query->_execute() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Datasource/QueryTrait.php, line 305
Cake\ORM\Query->_all() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/ORM/Query.php, line 1115
Cake\ORM\Query->all() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Datasource/QueryTrait.php, line 322
Cake\ORM\Query->toArray() /var/www/sfb1283/sfbweb/src/Controller/ProjectsController.php, line 58
App\Controller\ProjectsController->view() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/Controller.php, line 560
Cake\Controller\Controller->invokeAction() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 140
Cake\Controller\ControllerFactory->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 115
Cake\Controller\ControllerFactory->invoke() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/BaseApplication.php, line 325
Cake\Http\BaseApplication->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 86
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/RoutingMiddleware.php, line 189
Cake\Routing\Middleware\RoutingMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/AssetMiddleware.php, line 68
Cake\Routing\Middleware\AssetMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Error/Middleware/ErrorHandlerMiddleware.php, line 149
Cake\Error\Middleware\ErrorHandlerMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 67
Cake\Http\Runner->run() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Server.php, line 99
Cake\Http\Server->run() /var/www/sfb1283/sfbweb/webroot/index.php, line 37
[main]

Warning (512) : Unable to emit headers. Headers sent in file=/var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Error/Renderer/HtmlErrorRenderer.php line=37 [in /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php, line 71]

Code

            $message = "Unable to emit headers. Headers sent in file=$file line=$line";
            trigger_error($message, E_USER_WARNING);
        }

/var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php, line 71
Cake\Http\ResponseEmitter->emit() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Server.php, line 137
Cake\Http\Server->emit() /var/www/sfb1283/sfbweb/webroot/index.php, line 37
[main]

Warning (2) : Cannot modify header information - headers already sent by (output started at /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Error/Renderer/HtmlErrorRenderer.php:37) [in /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php, line 168]

Code

            $response->getStatusCode(),
            ($reasonPhrase ? ' ' . $reasonPhrase : '')
        ));

/var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php, line 168
Cake\Http\ResponseEmitter->emitStatusLine() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php, line 74
Cake\Http\ResponseEmitter->emit() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Server.php, line 137
Cake\Http\Server->emit() /var/www/sfb1283/sfbweb/webroot/index.php, line 37
[main]

Code

            foreach ($values as $value) {
                header(sprintf(
                    '%s: %s',

/var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php, line 197
Cake\Http\ResponseEmitter->emitHeaders() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/ResponseEmitter.php, line 75
Cake\Http\ResponseEmitter->emit() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Server.php, line 137
Cake\Http\Server->emit() /var/www/sfb1283/sfbweb/webroot/index.php, line 37
[main]

Project B1: New Trends In Stochastic Partial Differential Equations -- CRC 1283: Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications

Menu

Contact | A-Z

Project B1: New trends in stochastic partial differential equations

Principal Investigator(s)
Michael Röckner
Xicheng Zhang
Rongchan Zhu
Xiangchan Zhu

Notice (8) : Trying to access array offset on value of type null [in /var/www/sfb1283/sfbweb/templates/Projects/view.php, line 13]

Code

                //echo '</tr>';
                $sorting_array[$key['person']['last_name'].$key['person']['first_name']] = array(0 => $key['person']['id'], 1 => $key['person']['label']);
            }

/var/www/sfb1283/sfbweb/templates/Projects/view.php /var/www/sfb1283/sfbweb/templates/Projects/view.php, line 131
/var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php, line 1222
Cake\View\View->_evaluate() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php, line 1179
Cake\View\View->_render() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php, line 810
Cake\View\View->render() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/Controller.php, line 790
Cake\Controller\Controller->render() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/Controller.php, line 569
Cake\Controller\Controller->invokeAction() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 140
Cake\Controller\ControllerFactory->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 115
Cake\Controller\ControllerFactory->invoke() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/BaseApplication.php, line 325
Cake\Http\BaseApplication->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 86
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/RoutingMiddleware.php, line 189
Cake\Routing\Middleware\RoutingMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/AssetMiddleware.php, line 68
Cake\Routing\Middleware\AssetMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Error/Middleware/ErrorHandlerMiddleware.php, line 149
Cake\Error\Middleware\ErrorHandlerMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 67
Cake\Http\Runner->run() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Server.php, line 99
Cake\Http\Server->run() /var/www/sfb1283/sfbweb/webroot/index.php, line 37
[main]

Notice (8) : Trying to access array offset on value of type null [in /var/www/sfb1283/sfbweb/templates/Projects/view.php, line 13]

Code

                //echo '</tr>';
                $sorting_array[$key['person']['last_name'].$key['person']['first_name']] = array(0 => $key['person']['id'], 1 => $key['person']['label']);
            }

/var/www/sfb1283/sfbweb/templates/Projects/view.php /var/www/sfb1283/sfbweb/templates/Projects/view.php, line 131
/var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php, line 1222
Cake\View\View->_evaluate() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php, line 1179
Cake\View\View->_render() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php, line 810
Cake\View\View->render() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/Controller.php, line 790
Cake\Controller\Controller->render() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/Controller.php, line 569
Cake\Controller\Controller->invokeAction() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 140
Cake\Controller\ControllerFactory->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 115
Cake\Controller\ControllerFactory->invoke() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/BaseApplication.php, line 325
Cake\Http\BaseApplication->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 86
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/RoutingMiddleware.php, line 189
Cake\Routing\Middleware\RoutingMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/AssetMiddleware.php, line 68
Cake\Routing\Middleware\AssetMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Error/Middleware/ErrorHandlerMiddleware.php, line 149
Cake\Error\Middleware\ErrorHandlerMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 67
Cake\Http\Runner->run() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Server.php, line 99
Cake\Http\Server->run() /var/www/sfb1283/sfbweb/webroot/index.php, line 37
[main]

Notice (8) : Trying to access array offset on value of type null [in /var/www/sfb1283/sfbweb/templates/Projects/view.php, line 13]

Code

                //echo '</tr>';
                $sorting_array[$key['person']['last_name'].$key['person']['first_name']] = array(0 => $key['person']['id'], 1 => $key['person']['label']);
            }

/var/www/sfb1283/sfbweb/templates/Projects/view.php /var/www/sfb1283/sfbweb/templates/Projects/view.php, line 131
/var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php, line 1222
Cake\View\View->_evaluate() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php, line 1179
Cake\View\View->_render() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/View/View.php, line 810
Cake\View\View->render() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/Controller.php, line 790
Cake\Controller\Controller->render() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/Controller.php, line 569
Cake\Controller\Controller->invokeAction() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 140
Cake\Controller\ControllerFactory->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Controller/ControllerFactory.php, line 115
Cake\Controller\ControllerFactory->invoke() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/BaseApplication.php, line 325
Cake\Http\BaseApplication->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 86
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/RoutingMiddleware.php, line 189
Cake\Routing\Middleware\RoutingMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Routing/Middleware/AssetMiddleware.php, line 68
Cake\Routing\Middleware\AssetMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Error/Middleware/ErrorHandlerMiddleware.php, line 149
Cake\Error\Middleware\ErrorHandlerMiddleware->process() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 82
Cake\Http\Runner->handle() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Runner.php, line 67
Cake\Http\Runner->run() /var/www/sfb1283/sfbweb/vendor/cakephp/cakephp/src/Http/Server.php, line 99
Cake\Http\Server->run() /var/www/sfb1283/sfbweb/webroot/index.php, line 37
[main]

Notice (8) : Trying to access array offset on value of type null [in /var/www/sfb1283/sfbweb/templates/Projects/view.php, line 13]

Code

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[main]

Investigator(s)

Sebastian Grube
Zimo Hao
Xiaomin Huang
Lin Lv
Tetyana Pasurek
Yongqiang Suo
Xianliang Zhao

Visitor(s)
Huaxiang Lv

Summary:

The research in Project B1 is structured in the following five parts: (I) Path distribution dependent stochastic partial differential equations (SPDEs) and probabilistic representation for stochastic nonlinear Fokker–Planck–Kolmogorov equations (FPKEs); (II) Nonuniqueness versus restricted uniqueness in law and pathwise uniqueness via low order regularity for Kolmogorov operators of SPDEs; (III) Singular SPDEs; (IV) Rescaling transformation and optimal control for SPDEs and stochastic variational inequalities (SVIs); (V) Supercritical stochastic differential equations (SDEs).

Recent Preprints:

25037 Yufei Shao, Xianliang Zhao PDF

The fluctuation behaviour of the stochastic point vortex model with common noise

Project: A5, B1

The fluctuation behaviour of the stochastic point vortex model with common noise

Authors:	Yufei Shao, Xianliang Zhao	Projects:	A5, B1
Submission Date:	25.05.2025	Submitter:	Michael Röckner
Download:	PDF	Link:	25037

25021 Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu PDF

$Φ^{4}_{3}$ Theory from many-body quantum Gibbs states

Project: B1

$Φ^{4}_{3}$ Theory from many-body quantum Gibbs states

Authors:	Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu	Projects:	B1
Submission Date:	12.03.2025	Submitter:	Michael Röckner
Download:	PDF	Link:	25021

24127 Zimo Hao, Michael Röckner, Xicheng Zhang PDF

Distribution-flow dependent SDEs driven by (fractional) Brownian motion and Navier-Stokes equations

Project: B1

Distribution-flow dependent SDEs driven by (fractional) Brownian motion and Navier-Stokes equations

Authors:	Zimo Hao, Michael Röckner, Xicheng Zhang	Projects:	B1
Submission Date:	30.12.2024	Submitter:	Martina Hofmanová
Download:	PDF	Link:	24127

24116 Peng Chen, Lihu Xu, Xiaolong Zhang, Xicheng Zhang PDF

$W_d$-convergence rate of EM schemes for invariant measures of supercritical stable SDEs

Project: B1

$W_d$-convergence rate of EM schemes for invariant measures of supercritical stable SDEs

Authors:	Peng Chen, Lihu Xu, Xiaolong Zhang, Xicheng Zhang	Projects:	B1
Submission Date:	14.03.2025	Submitter:	Michael Röckner
Download:	PDF	Link:	24116

24115 Mengyu Cheng, Zimo Hao, Xicheng Zhang PDF

Averaging principle for SDEs with singular drifts driven by α-stable processes

Project: B1

Averaging principle for SDEs with singular drifts driven by α-stable processes

Authors:	Mengyu Cheng, Zimo Hao, Xicheng Zhang	Projects:	B1
Submission Date:	14.03.2025	Submitter:	Michael Röckner
Download:	PDF	Link:	24115

24113 Theresa Lange, Marco Rehmeier, Andre Schenke PDF

Non-uniqueness of Leray–Hopf solutions for the 3D fractional Navier–Stokes equations perturbed by transport noise

Project: B1

Non-uniqueness of Leray–Hopf solutions for the 3D fractional Navier–Stokes equations perturbed by transport noise

Authors:	Theresa Lange, Marco Rehmeier, Andre Schenke	Projects:	B1
Submission Date:	20.03.2025	Submitter:	Michael Röckner
Download:	PDF	Link:	24113

24106 Hao Shen, Scott Smith, Rongchan Zhu PDF

Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum

Project: B1

Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum

Authors:	Hao Shen, Scott Smith, Rongchan Zhu	Projects:	B1
Submission Date:	12.03.2025	Submitter:	Michael Röckner
Download:	PDF	Link:	24106

24105 Lin Lü, Rongchan Zhu PDF

Stationary solutions to stochastic 3D Euler equations in Hölder space

Project: B1

Published: Stochastic Processes and their Applications 177, no. 104465 (2024), 27 pp

Stationary solutions to stochastic 3D Euler equations in Hölder space

Authors:	Lin Lü, Rongchan Zhu	Projects:	B1
Submission Date:	12.03.2025	Submitter:	Michael Röckner
Download:	PDF	Link:	24105
Published:	Stochastic Processes and their Applications 177, no. 104465 (2024), 27 pp

24104 Hao Shen, Rongchan Zhu, Xiangchan Zhu PDF

Global well-posedness for 2D generalized parabolic Anderson model via paracontrolled calculus

Project: B1

Global well-posedness for 2D generalized parabolic Anderson model via paracontrolled calculus

Authors:	Hao Shen, Rongchan Zhu, Xiangchan Zhu	Projects:	B1
Submission Date:	12.03.2025	Submitter:	Michael Röckner
Download:	PDF	Link:	24104

24103 Huaxiang Lü, Xiangchan Zhu PDF

Non-unique ergodicity for the 2D stochastic Navier-Stokes equations with derivative of space-time white noise

Project: B1

Published: Journal of Differential Equations 425 (2025), 383–433

Non-unique ergodicity for the 2D stochastic Navier-Stokes equations with derivative of space-time white noise

Authors:	Huaxiang Lü, Xiangchan Zhu	Projects:	B1
Submission Date:	12.03.2025	Submitter:	Michael Röckner
Download:	PDF	Link:	24103
Published:	Journal of Differential Equations 425 (2025), 383–433

All Publications of this Project

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