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05/22/2023
Sampling from the random cluster model on random regular graphs at all temperatures via Glauber dynamics
We consider the performance of Glauber dynamics for the random cluster m...
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06/30/2022
Fast sampling of satisfying assignments from random k-SAT
We give the first nearly linear time algorithm to approximately sample s...
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06/23/2022
Approximating observables is as hard as counting
We study the computational complexity of estimating local observables fo...
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02/11/2022
Metastability of the Potts ferromagnet on random regular graphs
We study the performance of Markov chains for the q-state ferromagnetic ...
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11/07/2021
Fast sampling via spectral independence beyond bounded-degree graphs
Spectral independence is a recently-developed framework for obtaining sh...
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07/12/2021
Inapproximability of counting hypergraph colourings
Recent developments in approximate counting have made startling progress...
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05/04/2021
Sampling Colorings and Independent Sets of Random Regular Bipartite Graphs in the Non-Uniqueness Region
For spin systems, such as the q-colorings and independent-set models, ap...
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05/02/2021
Fast mixing via polymers for random graphs with unbounded degree
The polymer model framework is a classical tool from statistical mechani...
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05/01/2021
The complexity of approximating the complex-valued Ising model on bounded degree graphs
We study the complexity of approximating the partition function Z_Ising(...
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07/16/2020
Rapid Mixing for Colorings via Spectral Independence
The spectral independence approach of Anari et al. (2020) utilized recen...
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06/26/2020
Lee-Yang zeros and the complexity of the ferromagnetic Ising Model on bounded-degree graphs
We study the computational complexity of approximating the partition fun...
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05/03/2020
The complexity of approximating the complex-valued Potts model
We study the complexity of approximating the partition function of the q...
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04/28/2020
Fast algorithms for general spin systems on bipartite expanders
A spin system is a framework in which the vertices of a graph are assign...
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04/20/2020
The complexity of approximating averages on bounded-degree graphs
We prove that, unless P=NP, there is no polynomial-time algorithm to app...
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11/16/2019
Counting solutions to random CNF formulas
We give the first efficient algorithm to approximately count the number ...
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09/16/2019
Improved Strong Spatial Mixing for Colorings on Trees
Strong spatial mixing (SSM) is a form of correlation decay that has play...
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01/20/2019
Markov chains for the hard-core model via polymer models
Jenssen, Keevash and Perkins give an FPTAS and an efficient sampling alg...
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01/20/2019
A note on the high-fugacity hard-core model on bounded-degree bipartite expander graphs
Jenssen, Keevash and Perkins give an FPTAS and an efficient sampling alg...
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07/13/2018
The complexity of approximating the matching polynomial in the complex plane
We study the problem of approximating the value of the matching polynomi...
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04/22/2018
Sampling in Uniqueness from the Potts and Random-Cluster Models on Random Regular Graphs
We consider the problem of sampling from the Potts model on random regul...
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04/10/2018
Uniqueness for the 3-State Antiferromagnetic Potts Model on the Tree
The antiferromagnetic q-state Potts model is perhaps the most canonical ...
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11/01/2017
Inapproximability of the independent set polynomial in the complex plane
We study the complexity of approximating the independent set polynomial ...
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04/06/2017