292 citations
- University of California, DavisUS14 papers
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12 papers · 1 filter
Mass under the Ricci flow
Xianzhe Dai, Li Ma
In this paper, we study the change of the ADM mass of an ALE space along the Ricci flow. Thus we first show that the ALE property is preserved under the Ricci flow. Then, we show t…
On the Multilinear Restriction and Kakeya conjectures
Jonathan Bennett, Anthony Carbery, Terence Tao
We prove -linear analogues of the classical restriction and Kakeya conjectures in . Our approach involves obtaining monotonicity formulae pertaining to a certain evolution…
Classifying Descents According to Parity
Sergey Kitaev, Jeffrey Remmel
In this paper we refine the well-known permutation statistic "descent" by fixing parity of (exactly) one of the descent's numbers. We provide explicit formulas for the distribution…
Transitions in Microtubule C-termini conformations as a possible Dendritic signaling phenomenon
Avner Priel, Jack A. Tuszynski, Nancy J. Woolf
We model the dynamical states of the C-termini of tubulin dimers that comprise neuronal microtubules. We use molecular dynamics and other computational tools to explore the time-de…
Quenching of Reaction by Cellular Flows
A. Fannjiang, A. Kiselev, L. Ryzhik
We consider a reaction-diffusion equation in a cellular flow. We prove that in the strong flow regime there are two possible scenario for the initial data that is compactly support…
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices
Peter J. Forrester, Eric M. Rains
In a recent work Killip and Nenciu gave random recurrences for the characteristic polynomials of certain unitary and real orthogonal upper Hessenberg matrices. The corresponding ei…