Faculty

Institution

Unit

Venue

Lionel Levine

Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

Lionel Levine is currently serving as a College Of Arts And Sciences Professor at Cornell University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Lionel Levine

Cornell University

Professor

You can click a keyword to filter the displayed items

mathematics applied mathematics statistical physics statistical mechanics combinatorial theory discrete mathematics combinatorics mathematical sciences mathematical statistical physic graph theory stochastic process asymptotic analysis probability theory applied probability discrete algorithms physics computer science stochastic geometry random graphs ergodic theory interacting particle systems critical phenomena directed graphs internal dla random walk nonlinear dynamics combinatorial optimization algebraic graph theory rotor walk discrete geometry probabilistic graph theory rotor-router aggregation annotation encoding= theoretical physics logic in computer science diffusion process lattice (order) lattice theory extremal graph theory discrete dynamical systems integrable probability graph algorithms structural graph theory analytic combinatorics rotor-router model uniform recurrent state microarchitecture spectral theory entropy geometric graph theory rotor dynamics dynamic equilibrium non-equilibrium process complex dynamics stochastic calculus analytic number theory circuit complexity computability theory network theory topological soliton divisible sandpile internal aggregation models apollonian structure abelian network abelian networks abelian sandpile model self-organized criticality stationary density looping constant quantitative management computational physics high energy physics ore geology aggregate function data aggregation scaling analysis combinatory analysis

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Do Language Models Plan Ahead for Future Tokens?. arXiv (Cornell University) (2024)

Wu, WilsonMorris, John X.Levine, Lionel

breadcrumbs hypothesiscomputational linguisticslarge language modelsnatural language generationlanguage learninglinguisticsmultilingual pretrainingdo language modelsnatural language processingneurolinguisticslanguagelanguage models

Exact Sampling and Fast Mixing of Activated Random Walk. Electronic Journal of Probability (2024)

Lionel LevineFeng Liang

applied mathematicssampling theoryapplied probabilitycomputational statisticsmonte carlo samplingstochastic processsamplingexact samplingstatistics

FRONTIERMATH: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI. arXiv (Cornell University) (2024)

Glazer, ElliotErdil, EgeBesiroglu, TamayChicharro, DiegoChen, EvanGunning, AlexOlsson, Caroline FalkmanDenain, Jean-StanislasHo, AnsonSantos, Emily de OliveiraJärviniemi, OlliBarnett, MatthewSandler, RobertSevilla, JaimeRen, QiuyuPratt, ElizabethLevine, LionelBarkley, GrantStewart, NatalieGrechuk, BogdanGrechuk, TetianaEnugandla, Shreepranav Varma

approximate reasoningautomated reasoningcomputational intelligenceautomated proofcomputer scienceformal mathematical reasoningmodel-based reasoningnumber theoryartificial intelligencemathematicsformal methodsrigorous testbedai capabilities

How to Quantify the Coherence of a Set of Beliefs. arXiv (Cornell University) (2024)

Hess, RowanLevine, Lionel

probabilistic forecastingforecastingprobabilistic reasoningbayesian analysisexpert forecastsimprecise probabilitiesbinary kl-divergencestatisticspredictive analyticsbelief functioninferencedata scienceinformation fusionuncertainty quantificationloss functionsemantic evaluationapproximate reasoningbelief mergingstatistical inference

Locally Markov Walks on Finite Graphs. arXiv (Cornell University) (2024)

Kaiser, RobinLevine, LionelSava-Huss, Ecaterina

locally markov walksrandom graphsapplied mathematicscombinatoricsstatistical physicsmarkov walksdiscrete mathematicsprobabilistic graph theoryprobability theorystatistical mechanicscombinatorial theoryclassical markov chainsstochastic processmathematicsdiscrete algorithmsgraph theory

The Devil's Staircase for Chip‐Firing on Random Graphs and on Graphons. Random Structures and Algorithms (2024)

Viktor KissLionel LevineLilla Tóthmérész

random graphsgraph algorithmschip configurationparallel chip‐firingcombinatoricscombinatorial optimizationdiscrete mathematicscomputer scienceprobabilistic graph theorystructural graph theorycombinatorial theorymathematicsdiscrete algorithmsgraph theory

Universality Conjectures for Activated Random Walk. Probability Surveys (2024)

Lionel LevineVittoria Silvestri

probability theorystatistical mechanicsstochastic processmathematical statistical physicstatistical physicsuniversality conjecturescritical phenomenanonlinear dynamicsparticle systemphase transitionsphysicsinteracting particle systemstheoretical physicscomplex systemsentropyapplied mathematicsdynamical systemsmathematicsactivated random walk

Abelian Networks IV. Dynamics of Nonhalting Networks. Memoirs of the American Mathematical Society (2022)

Swee Hong ChanLionel Levine

abelian networknetwork analysisdiscrete dynamical systemsapplied mathematicsalgebraic graph theoryabelian networksgroup theorynetwork dynamicsabelian networks ivdynamical systemsnonlinear dynamicsmathematicsgraph theorynetwork theorymathematical sciences

Branching in a Markovian Environment. arXiv (Cornell University) (2021)

Lila GrecoLionel Levine

population dynamicsapplied mathematicsapplied probabilitystatistical physicsprobability theorystatistical mechanicsmarkov kernelstochastic processmathematicscentral limit theoremextinction matrixmarkovian environment

How Far Do Activated Random Walkers Spread From a Single Source?. Journal of Statistical Physics (2021)

Lionel LevineVittoria Silvestri

applied probabilitysingle sourcestochastic processstochastic geometry

1
2
3
4
5
8
10 / page

Lionel Levine

Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

Lionel Levine is currently serving as a College Of Arts And Sciences Professor at Cornell University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Lionel Levine

Cornell University

Professor

You can click a keyword to filter the displayed items

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Do Language Models Plan Ahead for Future Tokens?. arXiv (Cornell University) (2024)

Wu, WilsonMorris, John X.Levine, Lionel

Exact Sampling and Fast Mixing of Activated Random Walk. Electronic Journal of Probability (2024)

Lionel LevineFeng Liang

applied mathematicssampling theoryapplied probabilitycomputational statisticsmonte carlo samplingstochastic processsamplingexact samplingstatistics

FRONTIERMATH: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI. arXiv (Cornell University) (2024)

How to Quantify the Coherence of a Set of Beliefs. arXiv (Cornell University) (2024)

Hess, RowanLevine, Lionel

Locally Markov Walks on Finite Graphs. arXiv (Cornell University) (2024)

Kaiser, RobinLevine, LionelSava-Huss, Ecaterina

The Devil's Staircase for Chip‐Firing on Random Graphs and on Graphons. Random Structures and Algorithms (2024)

Viktor KissLionel LevineLilla Tóthmérész

Universality Conjectures for Activated Random Walk. Probability Surveys (2024)

Lionel LevineVittoria Silvestri

Abelian Networks IV. Dynamics of Nonhalting Networks. Memoirs of the American Mathematical Society (2022)

Swee Hong ChanLionel Levine

Branching in a Markovian Environment. arXiv (Cornell University) (2021)

Lila GrecoLionel Levine

How Far Do Activated Random Walkers Spread From a Single Source?. Journal of Statistical Physics (2021)

Lionel LevineVittoria Silvestri

applied probabilitysingle sourcestochastic processstochastic geometry

1
2
3
4
5
8
10 / page

Similar Faculty Members

Leonid Petrov

Institution

University of Virginia

applied mathematics

mathematics

Abdelmalek Abdesselam

Institution

University of Virginia

combinatorics

statistical physic

Boris Pittel

Institution

Ohio State University

statistical mechanic

discrete algorithm

Jozsef Balogh

Institution

University of Illinois Urbana-Champaign

combinatorics

combinatorial optimization

Richard Ehrenborg

Institution

University of Kentucky

mathematics education

discrete structure

Kenneth Alexander

Institution

University of Southern California

statistical mechanic

stochastic process

Jacques Verstraete

Institution

University of California, San Diego

discrete algorithm

extremal graph theory

Alexandru Zaharescu

Institution

University of Illinois Urbana-Champaign

mathematics

number theory

Sergi Elizalde

Institution

Dartmouth College

discrete algorithm

lattice paths

Boris Bukh

Institution

Carnegie Mellon University

geometric selection theorems

discrete algorithm

Similar Faculty Members

Leonid Petrov

Institution

University of Virginia

applied mathematics

mathematics

Abdelmalek Abdesselam

Institution

University of Virginia

combinatorics

statistical physic

Boris Pittel

Institution

Ohio State University

statistical mechanic

discrete algorithm

Jozsef Balogh

Institution

University of Illinois Urbana-Champaign

combinatorics

combinatorial optimization

Richard Ehrenborg

Institution

University of Kentucky

mathematics education

discrete structure

Kenneth Alexander

Institution

University of Southern California

statistical mechanic

stochastic process

Jacques Verstraete

Institution

University of California, San Diego

discrete algorithm

extremal graph theory

Alexandru Zaharescu

Institution

University of Illinois Urbana-Champaign

mathematics

number theory

Sergi Elizalde

Institution

Dartmouth College

discrete algorithm

lattice paths

Boris Bukh

Institution

Carnegie Mellon University

geometric selection theorems

discrete algorithm