| 2021Arianna Giunti and Juan J. L. Velázquez
Edge States for generalised Iwatsuka models: Magnetic fields having a fast transition across a curve
2021
https://arxiv.org/abs/2109.09651
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| Jin Woo Jang and Robert M. Strain
Frequency multiplier estimates for the linearized relativistic Boltzmann operator without angular cutoff
2021
https://arxiv.org/abs/2102.08846
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| Jin Woo Jang and Juan J. L. Velázquez
LTE and Non-LTE Solutions in Gases Interacting with Radiation
2021
https://arxiv.org/abs/2109.10071
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| 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
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| 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
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| 2020Kaveh Bashiri
On the basin of attraction of McKean-Vlasov paths
2020
https://arxiv.org/pdf/2001.09106.pdf
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| 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. |
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| 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. |
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| 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. |
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| 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
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| 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
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| 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
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| David Fajman, Gernot Heißel and Jin Woo Jang
Averaging with a time-dependent perturbation parameter
2020
https://ui.adsabs.harvard.edu/abs/2020arXiv200612844F
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| 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
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| 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
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| 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]. |
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| 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. |
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| 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
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| 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
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| 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
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