Zobrazeno 1 - 10
of 116
pro vyhledávání: '"Khanin, Konstantin"'
In our contribution we study stochastic models in one space dimension with two conservation laws. One model is the coupled continuum stochastic Burgers equation, for which each current is a sum of quadratic non-linearities, linear diffusion, and spac
Externí odkaz:
http://arxiv.org/abs/2401.06399
We consider a last passage percolation model in dimension $1+1$ with potential given by the product of a spatial i.i.d. potential with symmetric bounded distribution and an independent i.i.d. in time sequence of signs. We assume that the density of t
Externí odkaz:
http://arxiv.org/abs/2310.08379
The rigidity theory for circle homeomophisms with breaks was studied intensively in the last 20 years. It was proved that under mild conditions of the Diophantine type on the rotation number any two $C^{2+\alpha}$ smooth circle homeomorphisms with a
Externí odkaz:
http://arxiv.org/abs/2112.02765
We consider large-scale point fields which naturally appear in the context of the Kardar-Parisi-Zhang (KPZ) phenomenon. Such point fields are geometrical objects formed by points of mass concentration, and by shocks separating the sources of these po
Externí odkaz:
http://arxiv.org/abs/2112.02247
Autor:
Khanin, Konstantin, Li, Liying
In this paper we study the rate of convergence of the iterates of \iid random piecewise constant monotone maps to the time-$1$ transport map for the process of coalescing Brownian motions. We prove that the rate of convergence is given by a power law
Externí odkaz:
http://arxiv.org/abs/2110.09731
We prove a factorization formula for the point-to-point partition function associated with a model of directed polymers on the space-time lattice $\mathbb{Z}^{d+1}$, subject to an i.i.d. random potential and in the regime of weak disorder. In particu
Externí odkaz:
http://arxiv.org/abs/2107.12738
The well known phenomenon of exponential contraction for solutions to the viscous Hamilton-Jacobi equation in the space-periodic setting is based on the Markov mechanism. However, the corresponding Lyapunov exponent $\lambda(\nu)$ characterizing the
Externí odkaz:
http://arxiv.org/abs/2104.15036
In this paper we study spectral properties of Schr\"odinger operators with quasi-periodic potentials related to quasi-periodic action minimizing trajectories for analytic twist maps. We prove that the spectrum contains a component of absolutely conti
Externí odkaz:
http://arxiv.org/abs/2004.09137
Autor:
Ghazouani, Selim, Khanin, Konstantin
In this article we prove that iterated renormalisations of $\mathcal{C}^r$ circle diffeomorphisms with $d$ breaks, $r>2$, with given size of breaks, converge to an invariant family of piecewise Moebius maps, of dimension $2d$. We prove that this inva
Externí odkaz:
http://arxiv.org/abs/1907.07021
Autor:
Hurth, Tobias1 (AUTHOR) tobias.hurth@fu-berlin.de, Khanin, Konstantin2 (AUTHOR), Navarro Lameda, Beatriz3 (AUTHOR), Nazarov, Fedor4 (AUTHOR)
Publikováno v:
Journal of Statistical Physics. Oct2023, Vol. 190 Issue 10, p1-32. 32p.
