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Preprints 2023

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23064 Viorel Barbu, José Luís da Silva, Michael RöcknerPDF

Nonlocal, nonlinear Fokker–Planck equations and nonlinear martingale problems

Project: A5

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Nonlocal, nonlinear Fokker–Planck equations and nonlinear martingale problems


Authors: Viorel Barbu, José Luís da Silva, Michael Röckner Projects: A5
Submission Date: 03.10.2023 Submitter: Moritz Kaßmann
Download: PDF Link: 23064

23063 Vitali Wachtel, Denis DenisovPDF

Green function for an asymptotically stable random walk in a half space

Project: B10

Published: Journal of Theoretical Probability 37 (2024), 1745–1786

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Green function for an asymptotically stable random walk in a half space


Authors: Vitali Wachtel, Denis Denisov Projects: B10
Submission Date: 01.10.2023 Submitter: Sebastian Herr
Download: PDF Link: 23063
Published: Journal of Theoretical Probability 37 (2024), 1745–1786

23062 Salvatore Federico, Giorgio Ferrari, Maria Laura TorrentePDF

Irreversible reinsurance: minimization of capital injections in presence of a fixed cost

Project: C4

Published: Mathematics and Financial Economics 18 (2024), 707–733

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Irreversible reinsurance: minimization of capital injections in presence of a fixed cost


Authors: Salvatore Federico, Giorgio Ferrari, Maria Laura Torrente Projects: C4
Submission Date: 29.09.2023 Submitter: Frank Riedel
Download: PDF Link: 23062
Published: Mathematics and Financial Economics 18 (2024), 707–733

23061 Xiangchan Zhu, Martina Hofmanová, Xiaoyutao Luo, Rongchan ZhuPDF

Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise

Project: B1, B7

Published: Mathematische Annalen 390 (2024), 5111–5152

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Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise


Authors: Xiangchan Zhu, Martina Hofmanová, Xiaoyutao Luo, Rongchan Zhu Projects: B1, B7
Submission Date: 18.09.2023 Submitter: Johannes Storn
Download: PDF Link: 23061
Published: Mathematische Annalen 390 (2024), 5111–5152

23060 Martina Hofmanová, Rongchan Zhu, Xiangchan ZhuPDF

Non-uniqueness of Leray-Hopf solutions for stochastic forced Navier-Stokes equations

Project: B1, B7

Published: Electronic Journal of Probability 29 (2024), Article number 195

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Non-uniqueness of Leray-Hopf solutions for stochastic forced Navier-Stokes equations


Authors: Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu Projects: B1, B7
Submission Date: 18.09.2023 Submitter: Johannes Storn
Download: PDF Link: 23060
Published: Electronic Journal of Probability 29 (2024), Article number 195

23059 Lars Diening, Johannes Storn, Tabea TscherpelPDF

Grading of triangulations generated by bisection

Project: B7

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Grading of triangulations generated by bisection


Authors: Lars Diening, Johannes Storn, Tabea Tscherpel Projects: B7
Submission Date: 18.09.2023 Submitter: Martina Hofmanová
Download: PDF Link: 23059

23058 Lars Diening, Lukas Gehring, Johannes StornPDF

Adaptive mesh refinement for arbitrary initial triangulations

Project: B7

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Adaptive mesh refinement for arbitrary initial triangulations


Authors: Lars Diening, Lukas Gehring, Johannes Storn Projects: B7
Submission Date: 18.09.2023 Submitter: Martina Hofmanová
Download: PDF Link: 23058

23057 Johannes StornPDF

Solving minimal residual methods in $W^{−1,p}$ with large exponents $p$

Project: B7

Published: Journal of Scientific Computing 99 (2024), Article number 35

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Solving minimal residual methods in $W^{−1,p}$ with large exponents $p$


Authors: Johannes Storn Projects: B7
Submission Date: 14.09.2023 Submitter: Lars Diening
Download: PDF Link: 23057
Published: Journal of Scientific Computing 99 (2024), Article number 35

23056 Timothy Candy, Sebastian HerrPDF

The massless and the non-relativistic limit for the cubic Dirac equation

Project: A1

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The massless and the non-relativistic limit for the cubic Dirac equation


Authors: Timothy Candy, Sebastian Herr Projects: A1
Submission Date: 06.09.2023 Submitter: Frank Riedel
Download: PDF Link: 23056

23055 Mengyu Cheng, Zhenxin Liu, Michael RöcknerPDF

Averaging principle and normal deviation for multi-scale SDEs with polynomial nonlinearity

Project: B1

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Averaging principle and normal deviation for multi-scale SDEs with polynomial nonlinearity


Authors: Mengyu Cheng, Zhenxin Liu, Michael Röckner Projects: B1
Submission Date: 28.08.2023 Submitter: Benjamin Gess
Download: PDF Link: 23055

23054 Jan MazáčPDF

Patch frequencies in rhombic Penrose tilings

Project: A6

Published: Acta Crystallographica Section A: Foundations and Advances 79 (2023), 399–411

Notes: http://doi.org/10.1107/S2053273323004990

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Patch frequencies in rhombic Penrose tilings


Authors: Jan Mazáč Projects: A6
Submission Date: 28.07.2023 Submitter: Michael Baake
Download: PDF Link: 23054
Published: Acta Crystallographica Section A: Foundations and Advances 79 (2023), 399–411
Notes: http://doi.org/10.1107/S2053273323004990

23053 Jodi Dianetti, Giorgio Ferrari, Ioannis-Paraskevas TzouanasPDF

Ergodic mean-field games of singular control with regime-switching

Project: C4

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Ergodic mean-field games of singular control with regime-switching


Authors: Jodi Dianetti, Giorgio Ferrari, Ioannis-Paraskevas Tzouanas Projects: C4
Submission Date: 27.07.2023 Submitter: Frank Riedel
Download: PDF Link: 23053

23052 Lasse MononenPDF

Expected utility without linearity: Distinguishing between prospect theory and cumulative prospect theory

Project: C5

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Expected utility without linearity: Distinguishing between prospect theory and cumulative prospect theory


Authors: Lasse Mononen Projects: C5
Submission Date: 27.07.2023 Submitter: Giorgio Ferrari
Download: PDF Link: 23052

23050 Roberta Bianchini, Lars Eric Hientzsch, Felice IandoliPDF

Strong Ill-Posedness in \(\boldsymbol{L}^{\boldsymbol{\infty }}\) of the 2D Boussinesq Equations in Vorticity Form and Application to the 3D Axisymmetric Euler Equations

Project: A1

Published: SIAM Journal on Mathematical Analysis 56, no. 5 (2024), 5915–5968

Notes: https://doi.org/10.1137/23M159384X

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Strong Ill-Posedness in \(\boldsymbol{L}^{\boldsymbol{\infty }}\) of the 2D Boussinesq Equations in Vorticity Form and Application to the 3D Axisymmetric Euler Equations


Authors: Roberta Bianchini, Lars Eric Hientzsch, Felice Iandoli Projects: A1
Submission Date: 07.07.2023 Submitter: Sebastian Herr
Download: PDF Link: 23050
Published: SIAM Journal on Mathematical Analysis 56, no. 5 (2024), 5915–5968
Notes: https://doi.org/10.1137/23M159384X

23046 Martina Hofmanová, Rongchan Zhu, Xiangchan ZhuPDF

Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise

Project: B1, B7

Published: Archive for Rational Mechanics and Analysis 247, no. 3 (2023), Article number 46

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Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise


Authors: Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu Projects: B1, B7
Submission Date: 25.06.2023 Submitter: Michael Röckner
Download: PDF Link: 23046
Published: Archive for Rational Mechanics and Analysis 247, no. 3 (2023), Article number 46

23043 Hao Shen, Rongchan Zhu, Xiangchan ZhuPDF

Large $N$ limit and $1/N$ expansion of invariant observables in $O(N)$ linear $\sigma$-model via SPDE

Project: B1

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Large $N$ limit and $1/N$ expansion of invariant observables in $O(N)$ linear $\sigma$-model via SPDE


Authors: Hao Shen, Rongchan Zhu, Xiangchan Zhu Projects: B1
Submission Date: 25.06.2023 Submitter: Michael Röckner
Download: PDF Link: 23043

23040 Martina Hofmanová, Umberto Pappalettera, Rongchan Zhu, Xiangchan ZhuPDF

Anomalous and total dissipation due to advection by solutions of randomly forced Navier-Stokes equations

Project: B1, B7

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Anomalous and total dissipation due to advection by solutions of randomly forced Navier-Stokes equations


Authors: Martina Hofmanová, Umberto Pappalettera, Rongchan Zhu, Xiangchan Zhu Projects: B1, B7
Submission Date: 25.06.2023 Submitter: Michael Röckner
Download: PDF Link: 23040

23039 Marco Rehmeier, Michael RöcknerPDF

Nonlinear Fokker--Planck--Kolmogorov equations as gradient flows on the space of probability measures

Project: A5

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Nonlinear Fokker--Planck--Kolmogorov equations as gradient flows on the space of probability measures


Authors: Marco Rehmeier, Michael Röckner Projects: A5
Submission Date: 19.06.2023 Submitter: Matthias Erbar
Download: PDF Link: 23039

23038 Ellen Baake, Fernando Cordero, Enrico Di GasperoPDF

The mutation process on the ancestral line under selection

Project: C1

Published: Theor. Popul. Biol. 158 (2024), 60–75

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The mutation process on the ancestral line under selection


Authors: Ellen Baake, Fernando Cordero, Enrico Di Gaspero Projects: C1
Submission Date: 13.06.2023 Submitter: Michael Baake
Download: PDF Link: 23038
Published: Theor. Popul. Biol. 158 (2024), 60–75

23037 Christopher Maulén Marchant, Claudio MuñozPDF

Asymptotic stability of the fourth order $\Phi^4$ kink for general perturbations in the energy space

Project: A1

Published: Annales de l"Institut Henri Poincaré C: Analyse non lineaire (2024)

Notes: https://doi.org/10.4171/aihpc/112

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Asymptotic stability of the fourth order $\Phi^4$ kink for general perturbations in the energy space


Authors: Christopher Maulén Marchant, Claudio Muñoz Projects: A1
Submission Date: 01.06.2023 Submitter: Sebastian Herr
Download: PDF Link: 23037
Published: Annales de l"Institut Henri Poincaré C: Analyse non lineaire (2024)
Notes: https://doi.org/10.4171/aihpc/112

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