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19922026
most citedCatastrophic cascade of failures in interdependent networks

4.5k citations

Showing 2011Show all

104 papers · 1 filter

math.CV2011

Differential inequality of the second derivative that leads to normality

Qiaoyu Chen, Shahar Nevo, XueCheng Pang

Let F be a family of functions meromorphic in a domain D. If {|f|/(1+|f|^3):f in F} is locally uniformly bounded away from zero, then F is normal.

math.DS2011★ 2 cited

Joint Quasimodes, Positive Entropy, and Quantum Unique Ergodicity

Shimon Brooks, Elon Lindenstrauss

We study joint quasimodes of the Laplacian and one Hecke operator on compact congruence surfaces, and give conditions on the orders of the quasimodes that guarantee positive entrop…

math.GT2011★ 4 cited

A reduced set of moves on one-vertex ribbon graphs coming from links

Susan Abernathy, Cody Armond, Moshe Cohen +5

Every link in R^3 can be represented by a one-vertex ribbon graph. We prove a Markov type theorem on this subset of link diagrams.

physics.optics2011★ 102 cited

Controlling synchronization in large laser networks using number theory

Micha Nixon, Moti Fridman, Eitan Ronen +3

Synchronization in networks with delayed coupling are ubiquitous in nature and play a key role in almost all fields of science including physics, biology, ecology, climatology and…

cond-mat.str-el2011★ 8 cited

Alternating Superconductor--Insulator Transport Characteristics in a Quantum Vortex Chain

Yeshayahu Atzmon, Efrat Shimshoni

Experimental studies of magnetoresistance in thin superconducting strips subject to a perpendicular magnetic field B exhibit a multitude of transitions, from superconductor to insu…

math.PR2011★ 5 cited

Moment and Tail Inequalities for Polynomial Martingales

E. Ostrovsky, L. Sirota

In this paper we obtain the non-asymptotic exact moment and tails estimates for polynomial on martingale differences. We give also some examples on order to show the exactness of o…