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47 papers · 1 filter
Almost continuous orbit equivalence for non-singular homeomorphisms
Alexandre I. Danilenko, Andrés del Junco
Let and be Polish spaces with non-atomic Borel measures and of full support. Suppose that and are ergodic non-singular homeomorphisms of and …
Regularity of solutions for the critical -dimensional Burgers' equation
Chi Hin Chan, Magdalena Czubak
We consider the fractional Burgers' equation on with the critical dissipation term. We follow the parabolic De-Giorgi's method of Caffarelli and Vasseur \cite{Driftdiffusion…
A measure-theoretic approach to the theory of dense hypergraphs
Gábor Elek, Balázs Szegedy
In this paper we develop a measure-theoretic method to treat problems in hypergraph theory. Our central theorem is a correspondence principle between three objects: An increasing h…
Fibred torti-rational knots
M. Hirasawa, K. Murasugi
A torti-rational knot, denoted by K(2a,b|r), is a knot obtained from the 2-bridge link B(2a,b) by applying Dehn twists an arbitrary number of times, r, along one component of B(2a,…
Optical Properties of III-Mn-V Ferromagnetic Semiconductors
K. S. Burch, D. D. Awschalom, D. N. Basov
We review the first decade of extensive optical studies of ferromagnetic, III-Mn-V diluted magnetic semiconductors. Mn introduces holes and local moments to the III-V host, which c…
The rate of convergence of the Walk on Spheres Algorithm
Ilia Binder, Mark Braverman
In this paper we examine the rate of convergence of one of the standard algorithms for emulating exit probabilities of Brownian motion, the Walk on Spheres (WoS) algorithm. We obta…