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pro vyhledávání: '"Jerison, Daniel C."'
Autor:
Jerison, Daniel C.
Let $(X_t)$ be a discrete time Markov chain on a general state space. It is well-known that if $(X_t)$ is aperiodic and satisfies a drift and minorization condition, then it converges to its stationary distribution $\pi$ at an exponential rate. We co
Externí odkaz:
http://arxiv.org/abs/1908.06459
We prove that the discrete harmonic function corresponding to smooth Dirichlet boundary conditions on orthodiagonal maps, that is, plane graphs having quadrilateral faces with orthogonal diagonals, converges to its continuous counterpart as the mesh
Externí odkaz:
http://arxiv.org/abs/1906.01613
Given a finite simple triangulation, we estimate the sizes of circles in its circle packing in terms of Cannon's vertex extremal length. Our estimates provide control over the size of the largest circle in the packing. We use them, combined with resu
Externí odkaz:
http://arxiv.org/abs/1906.01612
The abelian sandpile model defines a Markov chain whose states are integer-valued functions on the vertices of a simple connected graph $G$. By viewing this chain as a (nonreversible) random walk on an abelian group, we give a formula for its eigenva
Externí odkaz:
http://arxiv.org/abs/1511.00666
Publikováno v:
In Advances in Mathematics 18 November 2020 374
Publikováno v:
Transactions of the American Mathematical Society, 2019 Dec . 37212 (1027), 8307-8345.
Externí odkaz:
https://www.jstor.org/stable/26843457
Autor:
Hough, Robert D.1 (AUTHOR) robert.hough@stonybrook.edu, Jerison, Daniel C.2,3 (AUTHOR) dcjerison@gmail.com, Levine, Lionel2 (AUTHOR) levine@math.cornell.edu
Publikováno v:
Communications in Mathematical Physics. Apr2019, Vol. 367 Issue 1, p33-87. 55p.