Found 26 Documents (Results 1–26)
Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces. (English) Zbl 07917527
Construction of \(p\)-energy and associated energy measures on Sierpiński carpets. (English) Zbl 07789107
Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces. (English) Zbl 1486.35243
Sobolev spaces on p.c.f. self-similar sets I: critical orders and atomic decompositions. (English) Zbl 1487.28007
Reviewer: Chun Wei (Wuhan)
MSC:
28A80
Dirichlet forms and convergence of Besov norms on self-similar sets. (English) Zbl 1453.46028
Reviewer: Hans Triebel (Jena)
Geometry of self-similar measures on intervals with overlaps and applications to sub-Gaussian heat kernel estimates. (English) Zbl 1429.28014
Estimates of the transition densities for the reflected Brownian motion on simple nested fractals. (English) Zbl 1434.60208
Time changes of the Brownian motion: Poincaré inequality, heat kernel estimate and protodistance. (English) Zbl 1448.60003
Memoirs of the American Mathematical Society 1250. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3620-9/pbk; 978-1-4704-5255-1/ebook). v, 118 p. (2019).
Reviewer: Jordan M. Stoyanov (Sofia)
Elliptic Harnack inequalities for symmetric non-local Dirichlet forms. (English. French summary) Zbl 1415.35069
Reviewer: Vincenzo Vespri (Firenze)
Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs. (English) Zbl 1325.60078
Discrete approximations of metric measure spaces of controlled geometry. (English) Zbl 1354.30055
Reviewer: Vyron Vellis (Jyvaskyla)
A convergence of hunt processes on the ring of \(p\)-adic integers and its application to a random fractal. (English) Zbl 1303.31008
Brownian motion on \(\mathbb R\)-trees. (English) Zbl 1278.60009
Reviewer: Alexander I. Zejfman (Vologda)
Coalescing systems of non-Brownian particles. (English) Zbl 1277.60172
Reviewer: Robert I. A. Patterson (Berlin)
Discrete approximation of symmetric jump processes on metric measure spaces. (English) Zbl 1274.60238
Reviewer: Anatoly N. Kochubei (Kyïv)
Uniqueness of locally symmetric Brownian motion on Laakso spaces. (English) Zbl 1273.60040
Reviewer: Denis R. Bell (Jacksonville)
Approximation of jump processes on fractals. (English) Zbl 1171.60019
Reviewer: Victoria Knopova (Kiev)
Random walk on graphs with regular resistance and volume growth. (English) Zbl 1177.60047
Reviewer: Marius Iosifescu (Bucureşti)
A note on the transition density estimate for some diffusion process on a \(d\)-set. (English) Zbl 1118.60069
Some notes on function spaces and Dirichlet forms on self-similar sets. (English) Zbl 1126.60064
Reviewer: Mohamed Hmissi (Tunis)
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