with Xueyan Niu, Bo Bai
Conditional graph entropy as an alternating minimization problem
IEEE Transactions on Information Theory, 70 (2024), no.2, 904-919.

Try this Interactive Graph Entropy page!

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with Xueyan Niu, Bo Bai
Generalizing Körner's graph entropy to graphons
European Journal of Combinatorics, 114 (2023), 103779.

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Improved replica bounds for the independence ratio of random regular graphs
Journal of Statistical Physics, 190, 60 (2023).

For program codes visit this Replica Bounds page.

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with E. Csóka, B. Virág:
Entropy and expansion
Ann. Inst. H. Poincaré Probab. Statist., 56 (2020), no.4, 2428-2444.

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with B. Gerencsér:
Too Acute to Be True: The story of acute sets
The American Mathematical Monthly, 126 (2019), no.10, 905-914.

The article received the 2020 Halmos–Ford award.

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with B. Gerencsér:
Acute sets of exponentially optimal size
Discrete & Computational Geometry, 62 (2019), no. 4, 775–780.

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with Á. Backhausz, B. Gerencsér:
Entropy inequalities for factors of IID
Groups, Geometry, and Dynamics, 13 (2019), no. 2, 389–414.

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with B. Gerencsér:
Mutual information decay for factors of IID
Ergodic Theory and Dynamical Systems, 39 (2019), no. 11, 3015-3030.

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with Á. Backhausz, B. Gerencsér, M. Vizer:
Correlation bound for distant parts of factor of IID processes
Combinatorics, Probability and Computing 27 (2018), no. 1, 1-20.

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with B. Virág:
Independence ratio and random eigenvectors in transitive graphs
Annals of Probability 43 (2015), no. 5, 2810-2840.

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with E. Csóka, B. Gerencsér, B. Virág:
Invariant Gaussian processes and independent sets on regular graphs of large girth
Random Structures & Algorithms 47 (2015), no. 2, 284-303.

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On the density of triangles and squares in regular finite and unimodular random graphs
Combinatorica 33 (2013), no. 5, 531-548.

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with R. Balka:
Intersection of continua and rectifiable curves
Proc. Edinb. Math. Soc. (2) 57 (2014), no. 2, 339-345.

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Large dimensional sets not containing a given angle
Cent. Eur. J. Math. 9 (2011), no. 4, 757-764.

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with T. Keleti, G. Kiss, P. Maga, A. Máthé, P. Mattila, B. Strenner:
How large dimension guarantees a given angle?
Monatsh. Math. 171 (2013), no. 2, 169-187.

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Acute sets in Euclidean spaces
SIAM J. Discrete Math. 25 (2011), no. 3, 1212-1229.

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The Koch snowflake curve is tube-null
Proc. Amer. Math. Soc. 139 (2011), no. 4, 1375-1381.

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On the uniqueness of periodic decomposition
Fund. Math. 211 (2011), 225-244.

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with B. Farkas, T. Keleti, Sz.Gy. Révész:
Invariant decomposition of functions with respect to commuting invertible transformations
Proc. Amer. Math. Soc. 136 (2008), no. 4, 1325-1336.