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Preprints 2023

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23124 Mohamed Erraoui, Michael Röckner, José Luís da SilvaPDF

Cameron–Martin type theorem for a class of non-Gaussian measures

Project: B1

Published: Stochastic Analysis and Applications 42 (2024), 896–919

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Cameron–Martin type theorem for a class of non-Gaussian measures


Authors: Mohamed Erraoui, Michael Röckner, José Luís da Silva Projects: B1
Submission Date: 03.01.2024 Submitter: Vitali Wachtel
Download: PDF Link: 23124
Published: Stochastic Analysis and Applications 42 (2024), 896–919

23123 Zimo Hao, Xicheng ZhangPDF

SDEs with supercritical distributional drifts

Project: B1

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SDEs with supercritical distributional drifts


Authors: Zimo Hao, Xicheng Zhang Projects: B1
Submission Date: 09.01.2024 Submitter: Michael Röckner
Download: PDF Link: 23123

23122 Mingyan Wu, Zimo HaoPDF

SDE driven by cylindrical $\alpha$-stable process with distributional drift and application

Project: B1, B3

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SDE driven by cylindrical $\alpha$-stable process with distributional drift and application


Authors: Mingyan Wu, Zimo Hao Projects: B1, B3
Submission Date: 09.01.2024 Submitter: Michael Röckner
Download: PDF Link: 23122

23121 Martin Burger, Matthias Erbar, Franca Hoffmann, Daniel Matthes, André SchlichtingPDF

Covariance-modulated optimal transport and gradient flows

Project: A8

Published: Archive for Rational Mechanics and Analysis 249 (2024), Article number 7

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Covariance-modulated optimal transport and gradient flows


Authors: Martin Burger, Matthias Erbar, Franca Hoffmann, Daniel Matthes, André Schlichting Projects: A8
Submission Date: 10.01.2024 Submitter: Benjamin Gess
Download: PDF Link: 23121
Published: Archive for Rational Mechanics and Analysis 249 (2024), Article number 7

23120 Anna Balci, Lars Diening, Mikhail SurnachevPDF

Scalar minimizers with maximal singular sets and lack of Meyers property

Project: A7

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Scalar minimizers with maximal singular sets and lack of Meyers property


Authors: Anna Balci, Lars Diening, Mikhail Surnachev Projects: A7
Submission Date: 11.01.2024 Submitter: Martina Hofmanová
Download: PDF Link: 23120

23119 Anna Kh. Balci, Lars Diening, Abner J. SalgadoPDF

Numerical approximation of variational problems with orthotropic growth

Project: A7

Published: Numerische Mathematik 156 (2024), 1751–1779

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Numerical approximation of variational problems with orthotropic growth


Authors: Anna Kh. Balci, Lars Diening, Abner J. Salgado Projects: A7
Submission Date: 11.01.2024 Submitter: Martina Hofmanová
Download: PDF Link: 23119
Published: Numerische Mathematik 156 (2024), 1751–1779

23118 Gernot Akemann, Nayden Chakarov, Oliver Krüger, Adam Mielke, Meinolf Ottensmann, Patricia PäßlerPDF

Interactions between different birds of prey as a random point process

Project: C6

Published: Journal of Statistical Mechanics 2024 (2024), Article number 053501

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Interactions between different birds of prey as a random point process


Authors: Gernot Akemann, Nayden Chakarov, Oliver Krüger, Adam Mielke, Meinolf Ottensmann, Patricia Päßler Projects: C6
Submission Date: 31.01.2024 Submitter: Michael Baake
Download: PDF Link: 23118
Published: Journal of Statistical Mechanics 2024 (2024), Article number 053501

23117 Jorge Justiniano, Martin Rumpf, Matthias ErbarPDF

Approximation of splines in Wasserstein spaces

Project: A8

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Approximation of splines in Wasserstein spaces


Authors: Jorge Justiniano, Martin Rumpf, Matthias Erbar Projects: A8
Submission Date: 05.02.2024 Submitter: L’ubomír Baňas
Download: PDF Link: 23117

23116 Hanwu LiPDF

Backward stochastic differential equations with double mean reflections

Project: C3

Published: Stochastic Processes and their Applications 173 (2024), Article number 104371

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Backward stochastic differential equations with double mean reflections


Authors: Hanwu Li Projects: C3
Submission Date: 22.04.2024 Submitter: Giorgio Ferrari
Download: PDF Link: 23116
Published: Stochastic Processes and their Applications 173 (2024), Article number 104371

23115 Marie Bormann, Max von Renesse, Feng-Yu WangPDF

Functional inequalities for brownian motion on manifolds with sticky-reflecting boundary diffusion

Project: A5

Published: Probab. Theory Relat. Fields (2024)

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Functional inequalities for brownian motion on manifolds with sticky-reflecting boundary diffusion


Authors: Marie Bormann, Max von Renesse, Feng-Yu Wang Projects: A5
Submission Date: 23.04.2024 Submitter: Michael Röckner
Download: PDF Link: 23115
Published: Probab. Theory Relat. Fields (2024)

23114 Alexander Grigor'yanPDF

Analysis on ultra-metric spaces via heat kernels

Project: A3

Published: p-Adic Numbers, Ultrametric Analysis and Applications 15 (2023), 204–242

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Analysis on ultra-metric spaces via heat kernels


Authors: Alexander Grigor'yan Projects: A3
Submission Date: 06.06.2024 Submitter: Sebastian Herr
Download: PDF Link: 23114
Published: p-Adic Numbers, Ultrametric Analysis and Applications 15 (2023), 204–242

23113 Vitalii Konarovskyi, Fenna MüllerPDF

Dean-Kawasaki equation with initial condition in the space of positive distributions

Project: B8

Published: Journal of Evolution Equations 24 (2024), Article number 92

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Dean-Kawasaki equation with initial condition in the space of positive distributions


Authors: Vitalii Konarovskyi, Fenna Müller Projects: B8
Submission Date: 29.08.2024 Submitter: Benjamin Gess
Download: PDF Link: 23113
Published: Journal of Evolution Equations 24 (2024), Article number 92

23112 Benjamin Gess, Sebastian Kassing, Vitalii KonarovskyiPDF

Stochastic modified flows, mean-field limits and dynamics of stochastic gradient descent

Project: B8

Published: Journal of Machine Learning Research 25, no. 30 (2024), 1−27

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Stochastic modified flows, mean-field limits and dynamics of stochastic gradient descent


Authors: Benjamin Gess, Sebastian Kassing, Vitalii Konarovskyi Projects: B8
Submission Date: 29.08.2024 Submitter: Michael Röckner
Download: PDF Link: 23112
Published: Journal of Machine Learning Research 25, no. 30 (2024), 1−27

23111 Steffen Dereich, Sebastian KassingPDF

On the existence of optimal shallow feedforward networks with ReLU activation

Project: B8

Published: Journal of Machine Learning 3, no. 1 (2024), 1−22

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On the existence of optimal shallow feedforward networks with ReLU activation


Authors: Steffen Dereich, Sebastian Kassing Projects: B8
Submission Date: 29.08.2024 Submitter: Michael Röckner
Download: PDF Link: 23111
Published: Journal of Machine Learning 3, no. 1 (2024), 1−22

23110 Steffen Dereich, Arnulf Jentzen, Sebastian KassingPDF

On the existence of minimizers in shallow residual ReLU neural network optimization landscapes

Project: B8

Published: SIAM Journal on Numerical Analysis 62, no. 6 (2024), 2640−2666

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On the existence of minimizers in shallow residual ReLU neural network optimization landscapes


Authors: Steffen Dereich, Arnulf Jentzen, Sebastian Kassing Projects: B8
Submission Date: 29.08.2024 Submitter: Michael Röckner
Download: PDF Link: 23110
Published: SIAM Journal on Numerical Analysis 62, no. 6 (2024), 2640−2666

23109 Benjamin Gess, Sebastian KassingPDF

Convergence rates for momentum stochastic gradient descent with noise of machine learning type

Project: B8

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Convergence rates for momentum stochastic gradient descent with noise of machine learning type


Authors: Benjamin Gess, Sebastian Kassing Projects: B8
Submission Date: 29.08.2024 Submitter: Michael Röckner
Download: PDF Link: 23109

23108 Emanuela GussettiPDF

Pathwise central limit theorem and moderate deviations via rough paths for SPDEs with multiplicative noise

Project: B7

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Pathwise central limit theorem and moderate deviations via rough paths for SPDEs with multiplicative noise


Authors: Emanuela Gussetti Projects: B7
Submission Date: 11.09.2024 Submitter: Martina Hofmanová
Download: PDF Link: 23108

23107 Frederic AlbertiPDF

Asymptotic sampling distributions made easy: loose linkage in the ancestral recombination graph

Project: C1

Published: Electronic Journal of Probability 29, no. 163 (2024), 1–30

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Asymptotic sampling distributions made easy: loose linkage in the ancestral recombination graph


Authors: Frederic Alberti Projects: C1
Submission Date: 04.10.2024 Submitter: Vitali Wachtel
Download: PDF Link: 23107
Published: Electronic Journal of Probability 29, no. 163 (2024), 1–30

23106 Vladislav Vysotsky, Vitali WachtelPDF

Persistence of ar sequences with Rademacher innovations and linear mod transforms

Project: B10

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Persistence of ar sequences with Rademacher innovations and linear mod transforms


Authors: Vladislav Vysotsky, Vitali Wachtel Projects: B10
Submission Date: 19.11.2024 Submitter: Michael Baake
Download: PDF Link: 23106

23105 Paul Buterus, Holger SambalePDF

Some notes on moment inequalities for heavy-tailed distributions

Project: B5

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Some notes on moment inequalities for heavy-tailed distributions


Authors: Paul Buterus, Holger Sambale Projects: B5
Submission Date: 19.12.2024 Submitter: Gernot Akemann
Download: PDF Link: 23105

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