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19 papers · 1 filter
The volume of hyperbolic cone-manifolds of the knot with Conway's notation
Ji-Young Ham, Joongul Lee
Let be the family of two bridge knots of slope . We calculate the volumes of the cone-manifolds using the Schläfli formula. We present the conc…
Elliptic Virasoro Conformal Blocks
Amer Iqbal, Can Kozcaz, Shing-Tung Yau
We study certain six dimensional theories arising on brane webs living on . These brane webs are dual to toric elliptically fibered Calabi-Yau threefo…
A Boundedness Trichotomy for the Stochastic Heat Equation
Le Chen, Davar Khoshnevisan, Kunwoo Kim
We consider the stochastic heat equation with a multiplicative white noise forcing term under standard "intermitency conditions." The main finding of this paper is that, under mild…
Quenched localisation in the Bouchaud trap model with slowly varying traps
David Croydon, Stephen Muirhead
We consider the quenched localisation of the Bouchaud trap model on the positive integers in the case that the trap distribution has a slowly varying tail at infinity. Our main res…
Uniform Sobolev inequalities for second order non-elliptic differential operators
Eunhee Jeong, Yehyun Kwon, Sanghyuk Lee
We study uniform Sobolev inequalities for the second order differential operators of non-elliptic type. For we prove that the Sobolev type estimate $\|u\|_{L^q(\math…
Martin boundary of unbounded sets for purely discontinuous Feller processes
P. Kim, R. Song, Z. Vondraček
In this paper, we study the Martin kernels of general open sets associated with inaccessible points for a large class of purely discontinuous Feller processes in metric measure spa…