Zobrazeno 1 - 10
of 141
pro vyhledávání: '"Sethuraman, Sunder"'
Autor:
Loomis, Alex, Sethuraman, Sunder
In the `Many Interacting Worlds' (MIW) discrete Hamiltonian system approximation of Schr\"odinger's wave equation, introduced in \cite{hall_2014}, convergence of ground states to the Normal ground state of the quantum harmonic oscillator, via Stein's
Externí odkaz:
http://arxiv.org/abs/2401.15512
Autor:
Sethuraman, Sunder, Varadhan, S. R. S.
Consider the asymmetric nearest-neighbor exclusion process (ASEP) on ${\mathbb Z}$ with single particle drift $\gamma>0$, starting from a Bernoulli product invariant measure $\nu_\rho$ with density $\rho$. It is known that the position $X_{N}$ of a t
Externí odkaz:
http://arxiv.org/abs/2311.07800
Autor:
Conroy, Michael, Sethuraman, Sunder
We consider the symmetric exclusion particle system on $\mathbb{Z}$ starting from an infinite particle step configuration in which there are no particles to the right of a maximal one. We show that the scaled position $X_t/(\sigma b_t) - a_t$ of the
Externí odkaz:
http://arxiv.org/abs/2210.15550
We derive the hydrodynamic limit of Glauber-Kawasaki dynamics. The Kawasaki part is simple and describes independent movement of the particles with hard core exclusive interactions. It is speeded up in a diffusive space-time scaling. The Glauber part
Externí odkaz:
http://arxiv.org/abs/2210.03857
Autor:
Sethuraman, Sunder, Xue, Jianfei
We consider the space-time scaling limit of the particle mass in zero-range particle systems on a $1$D discrete torus $\mathbb{Z}/N\mathbb{Z}$ with a finite number of defects. We focus on two classes of increasing jump rates $g$, when $g(n)\sim n^\al
Externí odkaz:
http://arxiv.org/abs/2205.10252
Linear bandits have a wide variety of applications including recommendation systems yet they make one strong assumption: the algorithms must know an upper bound $S$ on the norm of the unknown parameter $\theta^*$ that governs the reward generation. S
Externí odkaz:
http://arxiv.org/abs/2205.01257
We derive a continuum mean-curvature flow as a certain hydrodynamic scaling limit of Glauber-Kawasaki dynamics with speed change. The Kawasaki part describes the movement of particles through particle interactions. It is speeded up in a diffusive spa
Externí odkaz:
http://arxiv.org/abs/2202.13286
Autor:
Funaki, Tadahisa, Sethuraman, Sunder
We investigate quasilinear discrete PDEs $\partial_t u = \Delta^N \varphi(u)+ Kf(u)$ of reaction-diffusion type with nonlinear diffusion term defined on an $n$-dimensional unit torus discretized with mesh size $\tfrac1N$ for $N\in {\mathbb N}$, where
Externí odkaz:
http://arxiv.org/abs/2112.13973
Publikováno v:
Tunisian J. Math. 4 (2022) 719-754
We consider an Allen-Cahn equation with nonlinear diffusion, motivated by the study of the scaling limit of certain interacting particle systems. We investigate its singular limit and show the generation and propagation of an interface in the limit.
Externí odkaz:
http://arxiv.org/abs/2112.13081
In a general stochastic multistate promoter model of dynamic mRNA/protein interactions, we identify the stationary joint distribution of the promoter state, mRNA, and protein levels through an explicit `stick-breaking' construction of interest in its
Externí odkaz:
http://arxiv.org/abs/2108.10896