Zobrazeno 1 - 10
of 338
pro vyhledávání: '"60K35, 60K37"'
Autor:
Shen, Xiao
Temporal correlations in the KPZ universality class have gained significant attention, following the conjectures in [Ferr-Spoh'16]. Building on prior work in the zero temperature setting [Basu-Gang-Zhan'21], we address the time correlation problem wi
Externí odkaz:
http://arxiv.org/abs/2408.07928
We study the random walk on dynamical percolation of $\mathbb{Z}^d$ (resp., the two-dimensional triangular lattice $\mathcal{T}$), where each edge (resp., each site) can be either open or closed, refreshing its status at rate $\mu\in (0,1/e]$. The ra
Externí odkaz:
http://arxiv.org/abs/2407.15162
Autor:
Rassoul-Agha, Firas, Sweeney, Mikhail
For stochastic Hamilton-Jacobi (SHJ) equations, instability points are the space-time locations where two eternal solutions with the same asymptotic velocity differ. Another crucial structure in such equations is shocks, which are the space-time loca
Externí odkaz:
http://arxiv.org/abs/2407.07866
Best Response Dynamics (BRD) is a class of strategy updating rules to find Pure Nash Equilibria (PNE) in a game. At each step, a player is randomly picked, and the player switches to a "best response" strategy based on the strategies chosen by others
Externí odkaz:
http://arxiv.org/abs/2406.09732
We study inhomogeneous Bernoulli bond percolation on the graph $G \times \mathbb{Z}$, where $G$ is a connected quasi-transitive graph. The inhomogeneity is introduced through a random region $R$ around the origin axis $\{0\}\times\mathbb{Z}$, where e
Externí odkaz:
http://arxiv.org/abs/2406.08614
Autor:
Junk, Stefan, Lacoin, Hubert
We investigate the upper tail distribution of the partition function of the directed polymer in a random environment on $\mathbb Z^d$ in the weak disorder phase. We show that the distribution of the infinite volume partition function $W^{\beta}_{\inf
Externí odkaz:
http://arxiv.org/abs/2405.04335
We propose a road layout and traffic model, based on last passage percolation (LPP). An easy naive argument shows that coalescence of traffic trajectories is essential to be considered when observing traffic networks around us. This is a fundamental
Externí odkaz:
http://arxiv.org/abs/2403.16268
We exhibit a percolating ergodic and isotropic lattice model in all but at least two dimensions that has zero effective conductivity in all spatial directions and for all non-trivial choices of the connectivity parameter. The model is based on the so
Externí odkaz:
http://arxiv.org/abs/2403.06785
Autor:
Shen, Xiao
The study of transversal fluctuation of the optimal path has been a crucial aspect of the Kadar-Parisi-Zhang (KPZ) universality class. In this paper, we establish a new probability lower bound, with optimal exponential order, for the rare event in wh
Externí odkaz:
http://arxiv.org/abs/2402.16332
Autor:
Busani, Ofer
It is believed that for metric-like models in the KPZ class the following property holds: with probability one, starting from any point, there are at most two semi-infinite geodesics with the same direction that do not coalesce. Until now, such a res
Externí odkaz:
http://arxiv.org/abs/2401.00513