978 citations
- Michigan State UniversityUS47 papers
- Argonne National LaboratoryUS40 papers
- University of WashingtonUS40 papers
- Massachusetts Institute of TechnologyUS39 papers
- Pennsylvania State UniversityUS39 papers
- University of California, DavisUS39 papers
- University of California, Los AngelesUS39 papers
- Fermi National Accelerator LaboratoryUS37 papers
- Texas A&M UniversityUS36 papers
- Purdue University West LafayetteUS35 papers
- University of ChicagoUS34 papers
- Wayne State UniversityUS34 papers
8 papers · 1 filter
Sensitive dependence on initial conditions and chaotic group actions
Fabrizio Polo
A continuous action of a group G on a compact metric space has sensitive dependence on initial conditions if there is a number e>0 such that for any open set U we can find g in G s…
Heaviness in Toral Rotations
Yuval Peres, David Ralston
We investigate the dimension of the set of points in the d-torus which have the property that their orbit under rotation by some alpha hits a fixed closed target A more often than…
Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape
J. Ye, S. Tanveer
Using a vortex sheet method we prove global existence of a near circular initial bubble in a Hele-Shaw cell with surface tension and generally finite nonzero viscosity ratio betwee…
Solvability of Rado systems in D-sets
Mathias Beiglböck, Vitaly Bergelson, Tomasz Downarowicz +1
Rado's Theorem characterizes the systems of homogenous linear equations having the property that for any finite partition of the positive integers one cell contains a solution to t…
Equidistribution of Dilations of Polynomial Curves in Nilmanifolds
Michael Björklund, Alexander Fish
In this paper we study the asymptotic behaviour under dilations of probability measures supported on polynomial curves in nilmanifolds. We prove, under some mild conditions, effect…
Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on $\T$
Manfred Einsiedler, Alexander Fish
We prove that if a Borel probability measure (μ) on (\T) is invariant under the action of a "large" multiplicative semigroup (lower logarithmic density is positive) and the action…