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Eyal Lubetzky

Professor of Mathematics

20012019
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Research Output 2001 2019

2019

Comparing mixing times on sparse random graphs

Ben-Hamou, A., Lubetzky, E. & Peres, Y., May 1 2019, In : Annales de l'institut Henri Poincare (B) Probability and Statistics. 55, 2, p. 1116-1130 15 p.

Research output: Contribution to journalArticle

Mixing Time
Simple Random Walk
Sparse Graphs
Random Graphs
Entropy

Optimal freshness crawl under politeness constraints

Kolobov, A., Lubetzky, E., Peres, Y. & Horvitz, E., Jul 18 2019, SIGIR 2019 - Proceedings of the 42nd International ACM SIGIR Conference on Research and Development in Information Retrieval. Association for Computing Machinery, Inc, p. 495-504 10 p. (SIGIR 2019 - Proceedings of the 42nd International ACM SIGIR Conference on Research and Development in Information Retrieval).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Search engines
Search Engine
Websites
Scheduling
Constraint Handling

Quasi-polynomial mixing of critical two-dimensional random cluster models

Gheissari, R. & Lubetzky, E., Jan 1 2019, In : Random Structures and Algorithms.

Research output: Contribution to journalArticle

Random-cluster Model
Potts model
Polynomials
Upper bound
Glauber Dynamics
2018

A large deviation principle for the Erdős–Rényi uniform random graph

Dembo, A. & Lubetzky, E., Jan 1 2018, In : Electronic Communications in Probability. 23, 79.

Research output: Contribution to journalArticle

Large Deviation Principle
Random Graphs
Uniform distribution
Variational Problem
Subgraph

Comparing mixing times on sparse random graphs

Ben-Hamou, A., Lubetzky, E. & Peres, Y., Jan 1 2018, 29th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2018. Association for Computing Machinery, p. 1734-1740 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mixing Time
Simple Random Walk
Sparse Graphs
Random Graphs
Galton-Watson Tree

Concentration inequalities for polynomials of contracting ising models

Gheissari, R., Lubetzky, E. & Peres, Y., Jan 1 2018, In : Electronic Communications in Probability. 23, 76.

Research output: Contribution to journalArticle

Concentration Inequalities
Ising Model
Polynomial
Glauber Dynamics
Tail Probability

Exponentially slow mixing in the mean-field Swendsen-Wang dynamics

Gheissari, R., Lubetzky, E. & Peres, Y., Jan 1 2018, 29th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2018. Association for Computing Machinery, p. 1981-1988 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mean Field
Potts model
Mean-field Model
Potts Model
Markov Chain Monte Carlo

On the effects of signal processing on sample entropy for postural control

Lubetzky, A., Harel, D. & Lubetzky, E., Mar 1 2018, In : PLoS One. 13, 3, e0193460.

Research output: Contribution to journalArticle

Entropy
entropy
Signal processing
sampling
Pressure
Potts Model
Phase Transition
Boundary conditions
Mixing Time
Mixed Boundary Conditions

Tractable near-optimal policies for crawling

Azar, Y., Horvitz, E., Lubetzky, E., Peres, Y. & Shahaf, D., Aug 7 2018, In : Proceedings of the National Academy of Sciences of the United States of America. 115, 32, p. 8099-8103 5 p.

Research output: Contribution to journalArticle

Servers
Experiments
2017

Mixing Times of Critical Two-Dimensional Potts Models

Gheissari, R. & Lubetzky, E., 2017, (Accepted/In press) In : Communications on Pure and Applied Mathematics.

Research output: Contribution to journalArticle

Potts model
Mixing Time
Potts Model
Glauber Dynamics
Criticality

Universality of cutoff for the ising model

Lubetzky, E. & Sly, A., Nov 1 2017, In : Annals of Probability. 45, 6, p. 3664-3696 33 p.

Research output: Contribution to journalArticle

Ising Model
Universality
Stochastic Ising Model
Log-Sobolev Inequality
Finite Geometry

Upper tails and independence polynomials in random graphs

Bhattacharya, B. B., Ganguly, S., Lubetzky, E. & Zhao, Y., Oct 15 2017, In : Advances in Mathematics. 319, p. 313-347 35 p.

Research output: Contribution to journalArticle

Random Graphs
Tail
Polynomial
Tail Probability
Rate Function
2016

Cutoff on all Ramanujan graphs

Lubetzky, E. & Peres, Y., Jul 1 2016, In : Geometric and Functional Analysis. 26, 4, p. 1190-1216 27 p.

Research output: Contribution to journalArticle

Ramanujan Graphs
Regular Graph
Total Variation Distance
Mixing Time
Simple Random Walk

Harmonic Pinnacles in the Discrete Gaussian Model

Lubetzky, E., Martinelli, F. & Sly, A., May 17 2016, (Accepted/In press) In : Communications in Mathematical Physics. p. 1-45 45 p.

Research output: Contribution to journalArticle

peaks (landforms)
Gaussian Model
Discrete Model
Harmonic
harmonics

Information percolation and cutoff for the stochastic ising model

Lubetzky, E. & Sly, A., Jul 1 2016, In : Journal of the American Mathematical Society. 29, 3, p. 729-774 46 p.

Research output: Contribution to journalArticle

Stochastic Ising Model
Ising model

On the variational problem for upper tails in sparse random graphs

Lubetzky, E. & Zhao, Y., 2016, (Accepted/In press) In : Random Structures and Algorithms.

Research output: Contribution to journalArticle

Sparse Graphs
Random Graphs
Variational Problem
Tail
Triangle

Scaling limit and cube-root fluctuations in SOS surfaces above a wall

Caputo, P., Lubetzky, E., Martinelli, F., Sly, A. & Toninelli, F. L., 2016, In : Journal of the European Mathematical Society. 18, 5, p. 991-995 5 p.

Research output: Contribution to journalArticle

Cube root
Scaling Limit
Fluctuations
Line
Temperature
2015

An exposition to information percolation for the Ising model

Lubetzky, E. & Sly, A., 2015, (Accepted/In press) In : Annales de la Faculte des Sciences de Toulouse. Accepted/In Press.

Research output: Contribution to journalArticle

Cutoff for the East Process

Ganguly, S., Lubetzky, E. & Martinelli, F., 2015, In : Communications in Mathematical Physics. 335, 3, p. 1287-1322 36 p.

Research output: Contribution to journalArticle

cut-off
Imply
Stein's Method
Mixing Sequence
Interacting Particle Systems

Cycle Factors and Renewal Theory

Kahn, J., Lubetzky, E. & Wormald, N., 2015, (Accepted/In press) In : Communications on Pure and Applied Mathematics.

Research output: Contribution to journalArticle

Renewal Theory
Cycle
Renewal Process
Byproducts
Hamiltonicity

On replica symmetry of large deviations in random graphs

Lubetzky, E. & Zhao, Y., Aug 1 2015, In : Random Structures and Algorithms. 47, 1, p. 109-146 38 p.

Research output: Contribution to journalArticle

Largest Eigenvalue
Replica
Random Graphs
Large Deviations
Graph Homomorphism

Random triangle removal

Bohman, T., Frieze, A. & Lubetzky, E., Aug 6 2015, In : Advances in Mathematics. 280, p. 379-438 60 p.

Research output: Contribution to journalArticle

Triangle
Erdös
Terminate
Upper bound
Lower bound

Strong noise sensitivity and random graphs

Lubetzky, E. & Steif, J. E., 2015, In : Annals of Probability. 43, 6, p. 3239-3278 40 p.

Research output: Contribution to journalArticle

Random Graphs
Critical Probability
Monotone Function
Fourier coefficients
Flip

The threshold for combs in random graphs

Kahn, J., Lubetzky, E. & Wormald, N., 2015, (Accepted/In press) In : Random Structures and Algorithms.

Research output: Contribution to journalArticle

Random Graphs
Path
Vertex of a graph
Disjoint
Verify
2014

Anatomy of the giant component: The strictly supercritical regime

Ding, J., Lubetzky, E. & Peres, Y., Jan 2014, In : European Journal of Combinatorics. 35, p. 155-168 14 p.

Research output: Contribution to journalArticle

Giant Component
Anatomy
Siméon Denis Poisson
Strictly
Galton-Watson Tree

Cores of random graphs are born Hamiltonian

Krivelevich, M., Lubetzky, E. & Sudakov, B., 2014, In : Proceedings of the London Mathematical Society. 109, 1, p. 161-188 28 p.

Research output: Contribution to journalArticle

Random Graphs
Hamilton Cycle
Hamiltonicity
Minimum Degree
Immediately

Cover time of a random graph with a degree sequence II: Allowing vertices of degree two

Cooper, C., Frieze, A. & Lubetzky, E., Dec 1 2014, In : Random Structures and Algorithms. 45, 4, p. 627-674 48 p.

Research output: Contribution to journalArticle

Cover Time
Degree Sequence
Random Graphs
Giant Component
Corollary

Cover time of a random graph with given degree sequence II: Allowing vertices of degree tow

Cooper, C., Frieze, A. & Lubetzky, E., 2014, In : Random Structures and Algorithms. 45, 4, p. 627-674

Research output: Contribution to journalArticle

Dynamics Of (2 + 1)-dimensional sos surfaces above: A wall: Slow mixing induced by entropic repulsion1

Caputo, P., Lubetzky, E., Martinelli, F., Sly, A. & Toninelli, F. L., 2014, In : Annals of Probability. 42, 4, p. 1516-1589 74 p.

Research output: Contribution to journalArticle

Entropic Repulsion
Glauber Dynamics
Mixing Time
Zero
Ceiling
2013

Broadcasting with side information: Bounding and approximating the broadcast rate

Blasiak, A., Kleinberg, R. & Lubetzky, E., 2013, In : IEEE Transactions on Information Theory. 59, 9, p. 5811-5823 13 p., 6578154.

Research output: Contribution to journalArticle

broadcasting
Broadcasting
broadcast
coding
Network coding

Cutoff for General Spin Systems with Arbitrary Boundary Conditions

Lubetzky, E. & Sly, A., 2013, (Accepted/In press) In : Communications on Pure and Applied Mathematics.

Research output: Contribution to journalArticle

Stochastic Ising Model
Potts model
Ising model
Spin Systems
Potts Model

Cutoff for the Ising model on the lattice

Lubetzky, E. & Sly, A., 2013, In : Inventiones Mathematicae. 191, 3, p. 719-755 37 p.

Research output: Contribution to journalArticle

Ising Model
Glauber Dynamics
Periodic Boundary Conditions
Open Problems
Markov chain

Longest cycles in sparse random digraphs

Krivelevich, M., Lubetzky, E. & Sudakov, B., Aug 2013, In : Random Structures and Algorithms. 43, 1, p. 1-15 15 p.

Research output: Contribution to journalArticle

Long Cycle
Digraph
Random Graphs
Cycle
Longest Path

Quasi-polynomial mixing of the 2D stochastic Ising model with "plus" boundary up to criticality

Lubetzky, E., Martinelli, F., Sly, A. & Toninelli, F. L., 2013, In : Journal of the European Mathematical Society. 15, 2, p. 339-386 48 p.

Research output: Contribution to journalArticle

Stochastic Ising Model
Mixing Time
Ising model
Criticality
Ising Model

Stochastic coalescence in logarithmic time

Loh, P. S. & Lubetzky, E., Apr 2013, In : Annals of Applied Probability. 23, 2, p. 492-528 37 p.

Research output: Contribution to journalArticle

Coalescence
Logarithmic
Supermartingale
Distributed Protocol
Social Networking
2012

Critical Ising on the Square Lattice Mixes in Polynomial Time

Lubetzky, E. & Sly, A., Aug 2012, In : Communications in Mathematical Physics. 313, 3, p. 815-836 22 p.

Research output: Contribution to journalArticle

Square Lattice
Ising
Ising model
Ising Model
Polynomial time

Glauber Dynamics for the Mean-Field Potts Model

Cuff, P., Ding, J., Louidor, O., Lubetzky, E., Peres, Y. & Sly, A., Nov 2012, In : Journal of Statistical Physics. 149, 3, p. 432-477 46 p.

Research output: Contribution to journalArticle

Glauber Dynamics
Mixing Time
Mean-field Model
Potts Model
Metastability

Mixing time of near-critical random graphs

Ding, J., Lubetzky, E. & Peres, Y., May 2012, In : Annals of Probability. 40, 3, p. 979-1008 30 p.

Research output: Contribution to journalArticle

Mixing Time
Critical Graph
Random Graphs
Giant Component
Acute

Stochastic coalescence in logarithmic time

Loh, P. S. & Lubetzky, E., 2012, Proceedings of the 23rd Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2012. p. 541-550 10 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Coalescence
Logarithmic
Laplace transforms
Hinges
Random processes

Sums and products along sparse graphs

Alon, N., Angel, O., Benjamini, I. & Lubetzky, E., Mar 2012, In : Israel Journal of Mathematics. 188, 1, p. 353-384 32 p.

Research output: Contribution to journalArticle

Product Graph
Sparse Graphs
Lower bound
Integer
Distinct

The shape of the (2+1)d SOS surface above a wall

Caputo, P., Lubetzky, E., Martinelli, F., Sly, A. & Toninelli, F. L., Jul 2012, In : Comptes Rendus Mathematique. 350, 13-14, p. 703-706 4 p.

Research output: Contribution to journalArticle

Scaling Limit
Wulff Shape
Fractional Parts
Hausdorff Distance
Solid Model
2011

Anatomy of a young giant component in the random graph

Ding, J., Kim, J. H., Lubetzky, E. & Peres, Y., Sep 2011, In : Random Structures and Algorithms. 39, 2, p. 139-178 40 p.

Research output: Contribution to journalArticle

Giant Component
Anatomy
Random Graphs
Regular Graph
Galton-Watson Tree

Explicit expanders with cutoff phenomena

Lubetzky, E. & Sly, A., 2011, In : Electronic Journal of Probability. 16, p. 419-435 17 p.

Research output: Contribution to journalArticle

Expander
Total Variation
Random walk
Expander Graphs
Simple Random Walk

Lexicographic products and the power of non-linear network coding

Blasiak, A., Kleinberg, R. & Lubetzky, E., 2011, Proceedings - 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, FOCS 2011. p. 609-618 10 p. 6108222

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nonlinear networks
Network coding
Polynomials

Optimal discovery strategies in white space networks

Azar, Y., Gurel-Gurevich, O., Lubetzky, E. & Moscibroda, T., 2011, Algorithms, ESA 2011 - 19th Annual European Symposium, Proceedings. Vol. 6942 LNCS. p. 713-722 10 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 6942 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Clocks
Open Channel
Performance Guarantee
Communication
Communication Channels

Spectra of lifted Ramanujan graphs

Lubetzky, E., Sudakov, B. & Vu, V., Jul 10 2011, In : Advances in Mathematics. 227, 4, p. 1612-1645 34 p.

Research output: Contribution to journalArticle

Ramanujan Graphs
Ramanujan
Graph in graph theory
Regular Graph
Eigenvalue
2010

Choice-memory tradeoff in allocations

Alon, N., Gurel-Gurevich, O. & Lubetzky, E., Aug 2010, In : Annals of Applied Probability. 20, 4, p. 1470-1511 42 p.

Research output: Contribution to journalArticle

Trade-offs
Ball
Collision
Random Allocation
Upper and Lower Bounds

Cutoff phenomena for random walks on random regular graphs

Lubetzky, E. & Sly, A., Jun 2010, In : Duke Mathematical Journal. 153, 3, p. 475-510 36 p.

Research output: Contribution to journalArticle

Mixing Time
Regular Graph
Random Graphs
Random walk
Simple Random Walk

Diameters in supercritical random graphs via first passage percolation

Ding, J., Kim, J. H., Lubetzky, E. & Peres, Y., Sep 2010, In : Combinatorics Probability and Computing. 19, 5-6, p. 729-751 23 p.

Research output: Contribution to journalArticle

First-passage Percolation
Random Graphs
Passage Time
Giant Component
Erdös