Zobrazeno 1 - 10
of 248
pro vyhledávání: '"Berglund, Nils A."'
Autor:
Berglund, Nils, Blessing, Alexandra
The main goal of this work is to provide sample-path estimates for the solution of slowly time-dependent SPDEs perturbed by a cylindrical fractional Brownian motion. Our strategy is similar to the approach by Berglund and Nader for space-time white n
Externí odkaz:
http://arxiv.org/abs/2404.16485
Autor:
Berglund, Nils
We consider continuous-space, discrete-time Markov chains on $\mathbb{R}^d$, that admit a finite number $N$ of metastable states. Our main motivation for investigating these processes is to analyse random Poincar\'e maps, which describe random pertur
Externí odkaz:
http://arxiv.org/abs/2303.12624
Autor:
Berglund, Nils, Nader, Rita
Publikováno v:
Electron. J. Probab. 29: 1-35 (2024)
We consider slowly time-dependent singular stochastic partial differential equations on the two-dimensional torus, driven by weak space-time white noise, and renormalised in the Wick sense. Our main results are concentration results on sample paths n
Externí odkaz:
http://arxiv.org/abs/2209.15357
Autor:
Berglund, Nils, Klose, Tom
We give a relatively short, almost self-contained proof of the fact that the partition function of the suitably renormalised $\Phi^4_3$ measure admits an asymptotic expansion, the coefficients of which converge as the ultraviolet cut-off is removed.
Externí odkaz:
http://arxiv.org/abs/2207.08555
Autor:
Zhang, Xiao-lei, Li, Yong-Xin, Berglund, Nils, Burgdorf, Jeffrey S., Donello, John E., Moskal, Joseph R., Stanton, Patric K.
Publikováno v:
In Neuropharmacology 15 November 2024 259
Autor:
Berglund, Nils, Nader, Rita
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations, 11:348-387 (2023)
We consider stochastic partial differential equations (SPDEs) on the one-dimensional torus, driven by space-time white noise, and with a time-periodic drift term, which vanishes on two stable and one unstable equilibrium branches. Each of the stable
Externí odkaz:
http://arxiv.org/abs/2107.07292
Autor:
Berglund, Nils
These lecture notes have been prepared for a series of lectures given at the Summer School "From kinetic equations to statistical mechanics", (see https://www.lebesgue.fr/content/sem2021-equat_cynet ) organised by the Henri Lebesgue Center in Saint J
Externí odkaz:
http://arxiv.org/abs/2106.12998
Autor:
Kuehn, Christian, Berglund, Nils, Bick, Christian, Engel, Maximilian, Hurth, Tobias, Iuorio, Annalisa, Soresina, Cinzia
Publikováno v:
Physica D 431:133105 (2022)
In this paper, we review several results from singularly perturbed differential equations with multiple small parameters. In addition, we develop a general conceptual framework to compare and contrast the different results by proposing a three-step p
Externí odkaz:
http://arxiv.org/abs/2106.01160
Autor:
Berglund, Nils
Publikováno v:
Prob. Math. Phys. 2 (2021) 685-743
We consider two-dimensional stochastic differential equations, describing the motion of a slowly and periodically forced overdamped particle in a double-well potential, subjected to weak additive noise. We give sharp asymptotics of Eyring-Kramers typ
Externí odkaz:
http://arxiv.org/abs/2007.08443
Autor:
Berglund, Nils
Publikováno v:
Gazette des Math\'ematiciens 163, 14-25 (2020)
Metastability appears when a thermodynamic system, such as supercooled water (which is liquid below freezing temperature), lands on the "wrong" side of a phase transition, and remains for a very long time in a state different from its equilibrium sta
Externí odkaz:
http://arxiv.org/abs/2001.06045