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• W4293791305 abstract "We show two-sided bounds of heat kernel for symmetric pure jump Markov process in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper R Superscript d> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> <mml:mi>d</mml:mi> </mml:msup> <mml:annotation encoding=application/x-tex>mathbb {R}^d</mml:annotation> </mml:semantics> </mml:math> </inline-formula> with jumping kernel <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper J left-parenthesis x comma y right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>J</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:mi>y</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>J(x,y)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> that is comparable to <inline-formula content-type=math/tex> <tex-math> frac {bbone _{mathcal {V}}(x-y)}{|x-y|^{d+alpha }}</tex-math></inline-formula>, where <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script upper V> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>V</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>mathcal {V}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a union of symmetric cones and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=0 greater-than alpha greater-than 2> <mml:semantics> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>></mml:mo> <mml:mi>α<!-- α --></mml:mi> <mml:mo>></mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>0>alpha >2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
• W4293791305 created "2022-08-31" @default.
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• W4293791305 date "2022-08-18" @default.
• W4293791305 modified "2023-10-14" @default.
• W4293791305 title "Heat kernel estimates for symmetric jump processes with anisotropic jumping kernels" @default.
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• W4293791305 doi "https://doi.org/10.1090/proc/16103" @default.
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