Small-time Gaussian behavior of symmetric diffusion semi-groups

By M. Hino, J. Ramírez. 2003

102 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/62023343680117610f160ae6878b91d50eb76da6

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Heat Kernel Asymptotics for the Measurable Riemannian Structure on the Sierpinski Gasket (2012, background): “The results there suggest that the intrinsic metric is the most “natural”metric for a given strong local Dirichlet space; for example, according to Ramı́rez [32] and Hino and Ramı́rez [18], Varadhan’s asymptotic relation like (1.”
Gaussian heat kernel upper bounds via the Phragmén–Lindelöf theorem (2006, unknown): “Estimates (3.2) also hold in the setting of local Dirichlet forms (see for example [ 38, Theorem 2.8 ], and also [53], [54]).”
White Noise Driven SPDEs with Reflection: Strong Feller Properties and Harnack Inequalities (2010, background): “The Varadhan type small time asymptotics for infinite dimensional diffusions has been investigated by several people, see, [1, 4, 6, 7, 10] and [15].”
A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces (2013, background): “2] (for more information see also [55, 56, 44, 3], and [52, Section 3]).”
Entropic Measure and Wasserstein Diffusion (2007, background): “Its respective form for (E,Dom(E)) on L(2)(P0,P0) holds true by the very general results of [16] for conservative symmetric diffusions, and the identification of the intrinsic metric as dW in our previous theorem.”
The subelliptic heat kernel on SU(2): representations, asymptotics and gradient bounds (2008, background): “12 According to Léandre results [19] and [20] (see also [18]), the previous asymptotics give away to compute the sub-Riemanniandistance from0 to the point (r, θ, z) ∈ SU(2) by computing limt→0 −4t ln pt (r, z).”
On singularity of energy measures on self-similar sets (2005, background): “have µ-positive measures. Then, by [ 13, Theorem 2.8 ] for example, �”