Victor Beresnevich

Beresnevich, V. & Kleinbock, D., 2022, Dynamics, geometry, number theory—the impact of Margulis on modern mathematics. University of Chicago Press, 39 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

Winning property of badly approximable points on curves

Beresnevich, V., Nesharim, E. & Yang, L., 1 Oct 2022, In: Duke Mathematical Journal. 171, 14, p. 2841-2880

Research output: Contribution to journal › Article › peer-review

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2021

A lower bound for the Hausdorff dimension of the set of weighted simultaneously approximable points over manifolds

Beresnevich, V., Levesley, J. & Ward, B., Sept 2021, In: International Journal of Number Theory. 17, 8, p. 1795-1814

Research output: Contribution to journal › Article › peer-review

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Bad(w) is hyperplane absolute winning

Beresnevich, V., Nesharim, E. & Yang, L., 13 Mar 2021, In: Geometric And Functional Analysis. 31, p. 1-33

Research output: Contribution to journal › Article › peer-review

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Diophantine approximation on curves and the distribution of rational points: contributions to the divergence theory

Beresnevich, V., Vaughan, R. C., Velani, S. & Zorin, E., 17 Sept 2021, In: Advances in Mathematics. 388, 33 p., 107861.

Research output: Contribution to journal › Article › peer-review

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Number Theory Meets Wireless Communications

Beresnevich, V. (ed.), Velani, S. (ed.), Burr, A. G. (ed.) & Nazer, B. (ed.), 26 Jan 2021, Springer. 270 p. (Mathematical Engineering)

Research output: Book/Report › Book

Number Theory Meets Wireless Communications: An Introduction for Dummies Like Us

Beresnevich, V. & Velani, S., 26 Jan 2021, Number Theory Meets Wireless Communications. Beresnevich, V., Burr, A., Nazer, B. & Velani, S. (eds.). Springer, p. 1-67 (Mathematical Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

2020

Inhomogeneous dual Diophantine approximation on affine subspaces

Beresnevich, V., Ganguly, A., Ghosh, A. & Velani, S., Jun 2020, In: International Mathematics Research Notices. 2020, 12, p. 3582–3613 28 p.

Research output: Contribution to journal › Article › peer-review

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Preface

Beresnevich, V., Burr, A., Nazer, B. & Velani, S., 2020, Public-Key Cryptography and Computational Number Theory: Proceedings of the International Conference organized by the Stefan Banach International Mathematical Center Warsaw, Poland, September 11-15, 2000. De Gruyter, p. v-ix (De Gruyter Proceedings in Mathematics).

Research output: Chapter in Book/Report/Conference proceeding › Foreword/postscript

Sums of reciprocals of fractional parts and multiplicative Diophantine approximation

Beresnevich, V., Haynes, A. & Velani, S., 24 Feb 2020, In: Memoirs of the American Mathematical Society. 263, 1276, p. 11-24

Research output: Contribution to journal › Article › peer-review

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2019

Marstrand's Theorem revisited: projecting sets of dimension zero

Beresnevich, V., Falconer, K., Velani, S. & Zafeiropoulos, A., 15 Apr 2019, In: Journal of mathematical analysis and applications. 472, 2, p. 1820-1845

Research output: Contribution to journal › Article › peer-review

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2018

A Mass Transference Principle for systems of linear forms and its applications

Allen, D. D. & Beresnevich, V., 1 May 2018, In: Compositio Mathematica. 154, 5, p. 1014-1047 34 p.

Research output: Contribution to journal › Article › peer-review

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Badly approximable points on planar curves and winning

An, J., Beresnevich, V. & Velani, S., 14 Jan 2018, In: Advances in Mathematics. 324, p. 148–202 55 p.

Research output: Contribution to journal › Article › peer-review

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Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points

Beresnevich, V., Ghosh, A., Simmons, D. S. & Velani, S., 1 Oct 2018, In: Journal of the London Mathematical Society. 98, 2, p. 306-328 23 p.

Research output: Contribution to journal › Article › peer-review

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2017

Diophantine approximation on manifolds and lower bounds for Hausdorff dimension

Beresnevich, V., Lee, L., Vaughan, R. C. & Velani, S., 2017, In: Mathematika. 63, p. 762-779 18 p.

Research output: Contribution to journal › Article › peer-review

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Diophantine Approximation on Manifolds and the Distribution of Rational Points: Contributions to the Convergence Theory

Beresnevich, V., Vaughan, R. C., Velani, S. & Zorin, E., 1 May 2017, In: International Mathematics Research Notices. 2017, 10, p. 2885-2908 24 p.

Research output: Contribution to journal › Article › peer-review

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Metric Diophantine Approximation: aspects of recent work

Beresnevich, V., Ramirez, F. A. & Velani, S., Jan 2017, Dynamics and Analytic Number Theory. Badziahin, D., Gorodnik, A. & Peyerimhoff, N. (eds.). Cambridge University Press, p. 1-95 (London Mathematical Society Lecture Note Series; vol. 437).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

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Sums of reciprocals and the three distance theorem

Beresnevich, V. & Leong, N. E. C., 2017, 15 p.

Research output: Working paper

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2016

Diophantine Approximation and applications in Interference Alignment

Adiceam, F., Beresnevich, V., Levesley, J., Velani, S. & Zorin, E., 22 Oct 2016, In: Advances in Mathematics. 302, p. 231-279 49 p.

Research output: Contribution to journal › Article › peer-review

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Integral polynomials with small discriminants and resultants

Beresnevich, V., Bernik, V. & Goetze, F., 6 Aug 2016, In: Advances in Mathematics. 298, p. 393-412 20 p.

Research output: Contribution to journal › Article › peer-review

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2015

A note on three problems in metric Diophantine approximation

Beresnevich, V. & Velani, S., 2015, Recent Trends in Ergodic Theory and Dynamical Systems: Conference in Honor of S.G. Dani's 65th Birthday Recent Trends in Ergodic Theory and Dynamical Systems, December 26-29, 2012, Vadodara, India. Bhattacharya, S., Das, T., Ghosh, A. & Shah, R. (eds.). American Mathematical Society, Vol. 631. p. 211-229 (Contemporary Mathematics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

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Badly approximable points on manifolds

Beresnevich, V., 1 Dec 2015, In: Inventiones Mathematicae. 202, 3, p. 1199-1240 42 p.

Research output: Contribution to journal › Article › peer-review

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Non-planarity and metric Diophantine approximation for systems of linear forms

Beresnevich, V., Kleinbock, D. & Margulis, G., 21 May 2015, (E-pub ahead of print) In: Journal de Théorie des Nombres de Bordeaux. 27, 1, p. 1-31 31 p.

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2014

Simultaneous Diophantine approximations with a non-monotonic right-hand side

Budarina, N., Beresnevich, V. & Bernik, V. I., Feb 2014, In: Dokl. Nats. Akad. Nauk Belarusi. 58, 1, p. 26-30

Research output: Contribution to journal › Article › peer-review

Open Access

2013

Distribution of algebraic numbers and metric theory of Diophantine approximation

Beresnevich, V., Bernik, V., Kukso, O. & Götze, F., Jan 2013, Limit Theorems in Probability, Statistics and Number Theory: Springer Proceedings in Mathematics & Statistics. Eichelsbacher, P., Elsner, G., Kösters, H., Löwe, M., Merkl, F. & Rolles, S. (eds.). Springer, Vol. 42. p. 23-48 25 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

Inhomogeneous theory of dual Diophantine approximation on manifolds

Badziahin, D., Beresnevich, V. & Velani, S., 15 Jan 2013, In: Advances in Mathematics. 232, 1, p. 1-35 35 p.

Research output: Contribution to journal › Article › peer-review

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Multiplicative zero-one laws and metric number theory

Beresnevich, V., Haynes, A. & Velani, S., Jun 2013, In: Acta Arithmetica. 160, 2, p. 101-114 14 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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Taylorized polynomials and the distribution of resultants

Beresnevich, V., Bernik, V. & Goetze, F., 2013, In: Dokl. Nats. Akad. Nauk Belarusi. 57, 4, p. 21-24

Research output: Contribution to journal › Article › peer-review

The Duffin-Schaeffer conjecture with extra divergence II

Beresnevich, V., Harman, G., Haynes, A. & Velani, S., 2013, In: Mathematische Zeitschrift. 275, 1-2, p. 127-133 7 p.

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Метрическая теория диофантовых приближений и точные оценки снизу для количества целочисленных многочленов с заданными дискриминантами

Translated title of the contribution: Metric theory of Diophantine approximations and sharp lower bounds for the number of integer polynomials with prescribed discriminantsBeresnevich, V., Bernik, V. & Goetze, F., 2013, In: Doklady Akademii nauk BSSR. 57, 2, p. 17-20

Research output: Contribution to journal › Article › peer-review

2012

Rational points near manifolds and metric Diophantine approximation

Beresnevich, V., Jan 2012, In: Annals of Mathematics. 175, 1, p. 187-235 49 p.

Research output: Contribution to journal › Article › peer-review

2011

Inhomogeneous Diophantine approximation on planar curves

Beresnevich, V., Vaughan FRS, R. & Velani, S., Apr 2011, In: Mathematische Annalen. 349, 4, p. 929-942 14 p.

Research output: Contribution to journal › Article › peer-review

2010

An inhomogeneous transference principle and Diophantine approximation

Beresnevich, V. & Velani, S., Nov 2010, In: Proceedings of the London Mathematical Society. 101, 3, p. 821-851 31 p.

Research output: Contribution to journal › Article › peer-review

Classical Metric Diophantine Approximation Revisited: The Khintchine-Groshev Theorem

Beresnevich, V. & Velani, S., 2010, In: International Mathematics Research Notices. 2010, 1, p. 69-86 18 p.

Research output: Contribution to journal › Article › peer-review

Explicit bounds for rational points near planar curves and metric Diophantine approximation

Beresnevich, V. & Zorin, E., 20 Dec 2010, In: Advances in Mathematics. 225, 6, p. 3064-3087 24 p.

Research output: Contribution to journal › Article › peer-review

Simultaneous inhomogeneous Diophantine approximation on manifolds

Beresnevich, V. & Velani, S., 2010.

Research output: Contribution to conference › Paper › peer-review

The distribution of close conjugate algebraic numbers

Beresnevich, V., Bernik, V. & Goetze, F., Sept 2010, In: Compositio Mathematica. 146, 5, p. 1165-1179 15 p.

Research output: Contribution to journal › Article › peer-review

О распределении значений результантов целочисленных полиномов

Translated title of the contribution: On the distribution of the values of the resultants of integral polynomialsBeresnevich, V., Bernik, V. & Goetze, F., 2010, In: Doklady Akademii nauk BSSR. 54, 5, p. 21-23

Research output: Contribution to journal › Article › peer-review

Совместные приближения нуля целочисленным многочленом, его производной и малые значения дискриминантов

Translated title of the contribution: Simultaneous approximations of zero by an integral polynomial, its derivative, and small values of discriminantsBeresnevich, V., Bernik, V. & Götze, F., 2010, In: Doklady Akademii nauk BSSR. 54, 2, p. 26-28 2 p.

Research output: Contribution to journal › Article › peer-review

2009

Classical metric Diophantine approximation revisited

Beresnevich, V., Bernik, V., Dodson, M., Velani, S., Chen, W. (ed.), Gowers, T. (ed.), Halberstam, H. (ed.), Schmidt, W. (ed.) & Vaughan, R. (ed.), Feb 2009, Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press, p. 38-61 24 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Ubiquity and a general logarithm law for geodesics

Beresnevich, V., Velani, S., Bugeaud, Y. (ed.), Dal'Bo, F. (ed.) & Drutu, C. (ed.), 2009, Dynamical Systems and Diophantine Approximation. Seminaires et Congres. Vol. 19. p. 21-36 16 p. (Seminaires et Congres).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

2008

An inhomogeneous wave equation and non-linear Diophantine approximation

Beresnevich, V., Dodson, M. M., Kristensen, S. & Levesley, J., 30 Jan 2008, In: Advances in Mathematics. 217, 2, p. 740-760 21 p.

Research output: Contribution to journal › Article › peer-review

A note on zero-one laws in metrical Diophantine approximation

Beresnevich, V. & Velani, S., 2008, In: Acta Arithmetica. 133, 4, p. 363-374 12 p.

Research output: Contribution to journal › Article › peer-review

2007

A note on simultaneous Diophantine approximation on planar curves

Beresnevich, V. V. & Velani, S. L., Apr 2007, In: Mathematische Annalen. 337, 4, p. 769-796 28 p.

Research output: Contribution to journal › Article › peer-review

Victor Beresnevich

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