Preprints


	2021 Barbara Niethammer, Robert L. Pego, André Schlichting and Juan J. L. Velázquez Oscillations in a Becker-Döring model with injection and depletion 2021 https://ui.adsabs.harvard.edu/abs/2021arXiv210206751N

	Hwijae Son, Jin Woo Jang, Woo Jin Han and Hyung Ju Hwang Sobolev Training for the Neural Network Solutions of PDEs 2021 https://arxiv.org/abs/2101.08932

	2020 Kaveh Bashiri On the basin of attraction of McKean-Vlasov paths 2020 https://arxiv.org/pdf/2001.09106.pdf

	D. Betea, P.L. Ferrari and A. Occelli The half-space Airy stat process preprint: arXiv:2012.10337 2020 https://arxiv.org/abs/2012.10337 Abstract: We study the multipoint distribution of stationary half-space last passage percolation with exponentially weighted times. We derive both finite-size and asymptotic results for this distribution. In the latter case we observe a new one-parameter process we call half-space Airy stat. It is a one-parameter generalization of the Airy stat process of Baik-Ferrari-Péché, which is recovered far away from the diagonal. All these results extend the one-point results previously proven by the authors.

	A. Bufetov and P. Nejjar Shock fluctuations in TASEP under a variety of time scalings arXiv:2003.12414 2020 https://arxiv.org/abs/2003.12414 Abstract: We consider the totally asymmetric simple exclusion process (TASEP) with two different initial conditions with shock discontinuities, made by block of fully packed particles. Initially a second class particle is at the left of a shock discontinuity. Using multicolored TASEP we derive an exact formulas for the distribution of the second class particle and colored height functions. These are given in terms of the height function at different positions of a single TASEP configuration. We study the limiting distributions of second class particles (and colored height functions). The result depends on how the width blocks of particles scale with the observation time; we study a variety of such scalings.

	Ofer Busani and Patrik L. Ferrari Universality of the geodesic tree in last passage percolation preprint, arXiv:2008.07844 2020 https://arxiv.org/abs/2008.07844 Abstract: In this paper we consider the geodesic tree in exponential last passage percolation. We show that for a large class of initial conditions around the origin, the line-to-point geodesic that terminates in a cylinder of width $o(N^{2/3})$ and length $o(N)$ agrees in the cylinder, with the stationary geodesic sharing the same end point. In the case of the point-to-point model, we consider width $\delta N^{2/3}$ and length up to $\delta^{3/2} N/(\log(\delta^{-1}))^3$ and provide lower and upper bound for the probability that the geodesics agree in that cylinder.

	James Chapman, Jin Woo Jang and Robert M. Strain On the Determinant Problem for the Relativistic Boltzmann Equation 2020 https://ui.adsabs.harvard.edu/abs/2020arXiv200602540C

	Margherita Disertori and Mareike Lager Supersymmetric polar coordinates with applications to the Lloyd model Math. Phys. Anal. Geom., 23(1): Paper No. 2, 21 2020 10.1007/s11040-019-9326-4

	Margherita Disertori, Alessandro Giuliani and Ian Jauslin Plate-nematic phase in three dimensions Comm. Math. Phys., 373(1): 327--356 2020 10.1007/s00220-019-03543-z

	David Fajman, Gernot Heißel and Jin Woo Jang Averaging with a time-dependent perturbation parameter 2020 https://ui.adsabs.harvard.edu/abs/2020arXiv200612844F

	Maximillian Fels and Lisa B. Hartung Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Extremal process in the weakly correlated regime 2020 https://arxiv.org/abs/2002.00925

	Maximilian Fels and Lisa B. Hartung Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations 2020 https://arxiv.org/abs/1912.13184

	P.L. Ferrari and B. Vető Upper tail decay of KPZ models with Brownian initial conditions preprint,arXiv:2007.13496 2020 https://arxiv.org/abs/2007.13496 Abstract: In this paper we consider the limiting distribution of KPZ growth models with random but not stationary initial conditions introduced in [Chhita-Ferrari-Spohn 2018]. The one-point distribution of the limit is given in terms of a variational problem. By directly studying it, we deduce the right tail asymptotic of the distribution function. This gives a rigorous proof and extends the results obtained in [Meerson-Schmidt 2017].

	P.L. Ferrari, Muhittin Mungan and M. Mert Terzi The Preisach graph and longest increasing subsequences arXiv:2004.03138 2020 https://arxiv.org/abs/2004.03138 Abstract: The Preisach graph is a directed graph associated with a permutation ÏâSN. We give an explicit bijection between the vertices and increasing subsequences of Ï, with the property that its length equals the degree of nesting of the vertex inside a hierarchy of cycles and sub-cycles. As a consequence, the nesting degree of the Preisach graph equals the length of the longest increasing subsequence.

	Fabian Hoppe and Ira Neitzel Optimal control of quasilinear parabolic PDEs with state constraints 2020 https://ins.uni-bonn.de/media/public/publication-media/INSPreprint2004.pdf

	Fabian Hoppe and Ira Neitzel A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE 2020 https://ins.uni-bonn.de/media/public/publication-media/INSPreprint2005.pdf

	Richard D. James and Alessia Nota Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case Nonlinearity, 33(8): 3781--3815 2020 10.1088/1361-6544/ab853f

	Jin Woo Jang and Juan J. L. Velázquez Kinetic Models for Semiflexible Polymers in a Half-plane 2020 https://ui.adsabs.harvard.edu/abs/2020arXiv201101491J

	Jae Yong Lee, Jin Woo Jang and Hyung Ju Hwang The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach 2020 https://ui.adsabs.harvard.edu/abs/2020arXiv200913280L

	Christina Lienstromberg, Tania Pernas Castaño and Juan J. L. Velázquez Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid 2020 https://ui.adsabs.harvard.edu/abs/2020arXiv201210734L

Oscillations in a Becker-Döring model with injection and depletion

Sobolev Training for the Neural Network Solutions of PDEs

On the basin of attraction of McKean-Vlasov paths

The half-space Airy stat process

Shock fluctuations in TASEP under a variety of time scalings

Universality of the geodesic tree in last passage percolation

On the Determinant Problem for the Relativistic Boltzmann Equation

Supersymmetric polar coordinates with applications to the Lloyd model

Plate-nematic phase in three dimensions

Averaging with a time-dependent perturbation parameter

Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Extremal process in the weakly correlated regime

Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations

Upper tail decay of KPZ models with Brownian initial conditions

The Preisach graph and longest increasing subsequences

Optimal control of quasilinear parabolic PDEs with state constraints

A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE

Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case

Kinetic Models for Semiflexible Polymers in a Half-plane

The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach

Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid

2021

2020