Sanju Velani

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Shrinking targets versus recurrence: the quantitative theory	2024	Jason Levesley Bing Li David Simmons Sanju Velani
+ PDF Chat	Diophantine approximation and the Mass Transference Principle: incorporating the unbounded setup	2024	Bing Li Lingmin Liao Baowei Wnag Sanju Velani Evgeniy Zorin
+	The shrinking target problem for matrix transformations of tori: Revisiting the standard problem	2023	Bing Li Lingmin Liao Sanju Velani Evgeniy Zorin
+	John William Scott (‘Ian’) Cassels. 11 July 1922 — 27 July 2015	2023	Rainer Dietmann Tom Fisher Chris Smyth Sanju Velani
+	The divergence Borel–Cantelli Lemma revisited	2022	Victor Beresnevich Sanju Velani
+	Dirichlet is not just bad and singular	2022	Victor Beresnevich Lifan Guan Antoine Marnat Felipe A. Ramírez Sanju Velani
+	The Shrinking Target Problem for Matrix Transformations of Tori: revisiting the standard problem	2022	Bing Li Lingmin Liao Sanju Velani Evgeniy Zorin appendix by Baowei Wang
+ PDF Chat	Diophantine approximation on curves and the distribution of rational points: Contributions to the divergence theory	2021	Victor Beresnevich R. C. Vaughan Sanju Velani Evgeniy Zorin
+	The Divergence Borel-Cantelli Lemma revisited	2021	Victor Beresnevich Sanju Velani
+ PDF Chat	Inhomogeneous Diophantine Approximation on <i>M0</i>-Sets with Restricted Denominators	2020	Andrew Pollington Sanju Velani Agamemnon Zafeiropoulos Evgeniy Zorin
+ PDF Chat	Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation	2020	Victor Beresnevich Alan Haynes Sanju Velani
+ PDF Chat	Number Theory Meets Wireless Communications: An Introduction for Dummies Like Us	2020	Victor Beresnevich Sanju Velani
+	Number Theory meets Wireless Communications: an introduction for dummies like us	2020	Victor Beresnevich Sanju Velani
+	Dirichlet is not just Bad and Singular	2020	Victor Beresnevich Lifan Guan Antoine Marnat Felipe A. Ramírez Sanju Velani
+	Inhomogeneous Diophantine Approximation on $M_0$-sets with restricted denominators	2019	Andrew Pollington Sanju Velani Agamemnon Zafeiropoulos Evgeniy Zorin
+	Marstrand's Theorem revisited: Projecting sets of dimension zero	2018	Victor Beresnevich K. J. Falconer Sanju Velani Agamemnon Zafeiropoulos
+ PDF Chat	Inhomogeneous Dual Diophantine Approximation on Affine Subspaces	2018	Victor Beresnevich Arijit Ganguly Anish Ghosh Sanju Velani
+ PDF Chat	Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points	2018	Victor Beresnevich Anish Ghosh David Simmons Sanju Velani
+	Diophantine approximation on curves and the distribution of rational points: divergence theory	2018	Виктор В Бересневич R. C. Vaughan Sanju Velani Evgeniy Zorin
+	Arbeitsgemeinschaft: Diophantine Approximation, Fractal Geometry and Dynamics	2017	Victor Beresnevich Sanju Velani
+	Inhomogeneous dual Diophantine approximation on affine subspaces	2017	Victor Beresnevich Arijit Ganguly Anish Ghosh Sanju Velani
+	Badly approximable points on planar curves and winning	2017	Jinpeng An Victor Beresnevich Sanju Velani
+	Marstrand's Theorem Revisited: Projecting Sets of Dimension Zero	2017	Victor Beresnevich K. J. Falconer Sanju Velani Agamemnon Zafeiropoulos
+ PDF Chat	DIOPHANTINE APPROXIMATION ON MANIFOLDS AND LOWER BOUNDS FOR HAUSDORFF DIMENSION	2017	Victor Beresnevich L. Lee R. C. Vaughan Sanju Velani
+	Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points	2016	Victor Beresnevich Anish Ghosh David Simmons Sanju Velani
+ PDF Chat	Metric Diophantine Approximation: Aspects of Recent Work	2016	Victor Beresnevich Felipe A. Ramírez Sanju Velani
+	Diophantine approximation and applications in interference alignment	2016	Faustin Adiceam Victor Beresnevich Jeremy Levesley Sanju Velani Evgeniy Zorin
+ PDF Chat	Diophantine Approximation on Manifolds and the Distribution of Rational Points: Contributions to the Convergence Theory	2016	Victor Beresnevich R. C. Vaughan Sanju Velani Evgeniy Zorin
+	Metric Diophantine Approximation: aspects of recent work	2016	Victor Beresnevich Felipe A. Ramírez Sanju Velani
+	Sums of reciprocals of fractional parts and multiplicative Diophantine approximation	2015	Victor Beresnevich Alan Haynes Sanju Velani
+	Diophantine approximation on manifolds and the distribution of rational points: contributions to the convergence theory	2015	Victor Beresnevich R. C. Vaughan Sanju Velani Evgeniy Zorin
+	Diophantine Approximation and applications in Interference Alignment	2015	Faustin Adiceam Victor Beresnevich Jason Levesley Sanju Velani Evgeniy Zorin
+ PDF Chat	A note on three problems in metric Diophantine approximation	2015	Victor Beresnevich Sanju Velani
+	Diophantine Approximation and applications in Interference Alignment	2015	Faustin Adiceam Victor Beresnevich Jason Levesley Sanju Velani Evgeniy Zorin
+ PDF Chat	Badly approximable points on planar curves and a problem of Davenport	2014	Dzmitry Badziahin Sanju Velani
+	Badly approximable points on planar curves and winning	2014	Jinpeng An Victor Beresnevich Sanju Velani
+	Badly approximable points on planar curves and a problem of Davenport	2013	Dzmitry Badziahin Sanju Velani
+ PDF Chat	Multiplicative zero-one laws and metric number theory	2013	Victor Beresnevich Alan Haynes Sanju Velani
+	A note on three problems in metric Diophantine approximation	2013	Victor Beresnevich Sanju Velani
+	Badly approximable points on planar curves and a problem of Davenport	2013	Dzmitry Badziahin Sanju Velani
+ PDF Chat	The Duffin–Schaeffer conjecture with extra divergence II	2012	Victor Beresnevich Glyn Harman Alan Haynes Sanju Velani
+	Inhomogeneous theory of dual Diophantine approximation on manifolds	2012	Dzmitry Badziahin Victor Beresnevich Sanju Velani
+ PDF Chat	Simultaneous inhomogeneous diophantine approximation on manifolds	2012	Victor Beresnevich Sanju Velani
+ PDF Chat	On a problem in simultaneous Diophantine approximation: Schmidt's conjecture	2011	Dzmitry Badziahin Andrew Pollington Sanju Velani
+	Multiplicatively badly approximable numbers and generalised Cantor sets	2011	Dzmitry Badziahin Sanju Velani
+ PDF Chat	THE MIXED SCHMIDT CONJECTURE IN THE THEORY OF DIOPHANTINE APPROXIMATION	2011	Dzmitry Badziahin Jason Levesley Sanju Velani
+ PDF Chat	The Duffin–Schaeffer Conjecture with extra divergence	2011	Alan Haynes Andrew Pollington Sanju Velani
+ PDF Chat	METRIC CONSIDERATIONS CONCERNING THE MIXED LITTLEWOOD CONJECTURE	2011	Yann Bugeaud Alan Haynes Sanju Velani
+	Multiplicative zero-one laws and metric number theory	2010	Victor Beresnevich Alan Haynes Sanju Velani
+	Inhomogeneous theory of dual Diophantine approximation on manifolds	2010	Dzmitry Badziahin Victor Beresnevich Sanju Velani
+ PDF Chat	Inhomogeneous Diophantine approximation on planar curves	2010	Victor Beresnevich R. C. Vaughan Sanju Velani
+	Multiplicatively badly approximable numbers and generalised Cantor sets	2010	Dzmitry Badziahin Sanju Velani
+	ON SHRINKING TARGETS FOR ℤ <sup> <i>m</i> </sup> ACTIONS ON TORI	2010	Yann Bugeaud Stephen Harrap Simon Kristensen Sanju Velani
+ PDF Chat	An inhomogeneous transference principle and Diophantine approximation	2010	Victor Beresnevich Sanju Velani
+	On a problem in simultaneous Diophantine approximation: Schmidt's conjecture	2010	Dzmitry Badziahin Andrew Pollington Sanju Velani
+	Multiplicatively badly approximable numbers and generalised Cantor sets	2010	Dzmitry Badziahin Sanju Velani
+	Inhomogeneous theory of dual Diophantine approximation on manifolds	2010	Dzmitry Badziahin Victor Beresnevich Sanju Velani
+	On a problem in simultaneous Diophantine approximation: Schmidt's conjecture	2010	Dzmitry Badziahin Andrew Pollington Sanju Velani
+	Metric considerations concerning the mixed Littlewood Conjecture	2009	Yann Bugeaud Alan Haynes Sanju Velani
+ PDF Chat	Classical Metric Diophantine Approximation Revisited: The Khintchine-Groshev Theorem	2009	Victor Beresnevich Sanju Velani
+	Inhomogeneous Diophantine approximation on planar curves	2009	Victor Beresnevich Sanju Velani R. C. Vaughan
+	Classical metric Diophantine approximation revisited: the Khintchine-Groshev theorem	2008	Victor Beresnevich Sanju Velani
+	Classical metric Diophantine approximation revisited	2008	Victor Beresnevich Vasily Bernik M. M. Dodson Sanju Velani
+ PDF Chat	A note on zero-one laws in metrical Diophantine approximation	2008	Victor Beresnevich Sanju Velani
+	On shrinking targets for Z^m actions on tori	2008	Yann Bugeaud Stephen Harrap Simon Kristensen Sanju Velani
+	The Duffin-Schaeffer Conjecture with extra divergence	2008	Alan Haynes Andrew Pollington Sanju Velani
+	Classical metric Diophantine approximation revisited: the Khintchine-Groshev theorem	2008	Victor Beresnevich Sanju Velani
+	PATTERSON MEASURE AND UBIQUITY	2008	M. M. Dodson María V. Melián Domingo Pestana Sanju Velani
+	Diophantine approximation on planar curves and the distribution of rational points (with an appendix "Sum of two squares near perfect squares" by R.C. Vaughan)	2007	Victor Beresnevich Detta Dickinson Sanju Velani R. C. Vaughan
+ PDF Chat	Diophantine approximation on planar curves and the distribution of rational points (with an Appendix by R. C. Vaughan)	2007	Victor Beresnevich Detta Dickinson Sanju Velani R. C. Vaughan
+	Ubiquity and a general logarithm law for geodesics	2007	Victor Beresnevich Sanju Velani
+	Diophantine approximation onplanar curves andthe distribution of rational points	2007	Victor Beresnevich Detta Dickinson Sanju Velani V.C. Vaughan
+	Simultaneous inhomogeneous Diophantine approximation on manifolds	2007	Victor Beresnevich Sanju Velani
+ PDF Chat	On a problem of K. Mahler: Diophantine approximation and Cantor sets	2006	Jason Levesley Cem Salp Sanju Velani
+ PDF Chat	A note on simultaneous Diophantine approximation on planar curves	2006	Victor Beresnevich Sanju Velani
+ PDF Chat	A Mass Transference Principle and the Duffin–Schaeffer conjecture for Hausdorff measures	2006	Victor Beresnevich Sanju Velani
+ PDF Chat	Diophantine approximation on planar curves: the convergence theory	2006	R. C. Vaughan Sanju Velani
+ PDF Chat	Schmidt's theorem, Hausdorff measures, and slicing	2006	Victor Beresnevich Sanju Velani
+ PDF Chat	Measure theoretic laws for lim sup sets	2006	Victor Beresnevich Detta Dickinson Sanju Velani
+	Measure Theoretic Laws for Lim Sup Sets	2005	Victor Beresnevich Detta Dickinson Sanju Velani
+ PDF Chat	Metric Diophantine approximation and ‘absolutely friendly’ measures	2005	Andrew Pollington Sanju Velani
+ PDF Chat	Diophantine approximation and badly approximable sets	2005	Simon Kristensen Rebecca Thorn Sanju Velani
+	Schmidt's theorem, Hausdorff measures and Slicing	2005	Victor Beresnevich Sanju Velani
+	On a problem of K. Mahler: Diophantine approximation and Cantor sets	2005	Jason Levesley Cem Salp Sanju Velani
+	A note on simultaneous Diophantine approximation on planar curves	2005	Victor Beresnevich Sanju Velani
+	Measure theoretic laws for lim sup sets	2004	Victor Beresnevich Detta Dickinson Sanju Velani
+	Diophantine approximation on planar curves and the distribution of rational points	2004	Victor Beresnevich Detta Dickinson Sanju Velani
+	Diophantine approximation and badly approximable sets	2004	Simon Kristensen Rebecca Thorn Sanju Velani
+	Metric Diophantine approximation and 'absolutely friendly' measures	2004	Andrew Pollington Sanju Velani
+	A Mass Transference Principle and the Duffin-Schaeffer conjecture for Hausdorff measures	2004	Victor Beresnevich Sanju Velani
+ PDF Chat	A zero–infinity law for well-approximable points in Julia sets	2002	Richard Hill Sanju Velani
+	On Simultaneously Badly Approximable Numbers	2002	Andrew Pollington Sanju Velani
+	ERGODIC THEORY AND TOPOLOGICAL DYNAMICS OF GROUP ACTIONS ON HOMOGENEOUS SPACES (London Mathematical Society Lecture Note Series 269) <i>By</i> M. B<scp>ACHIR</scp> B<scp>EKKA</scp> and M<scp>ATTHIAS</scp> M<scp>AYER</scp>: 200 pp., £24.95 (LMS members' price £18.71), <scp>ISBN</scp> 0-521-66030-0 (Cambridge University Press, 2000).	2001	Sanju Velani
+ PDF Chat	Sets of exact 'logarithmic' order in the theory of Diophantine approximation	2001	Victor Beresnevich Detta Dickinson Sanju Velani
+ PDF Chat	On a problem in simultaneous diophantine approximation: Littlewood's conjecture	2000	Andrew Pollington Sanju Velani
+	The Shrinking Target Problem for Matrix Transformations of Tori	1999	Richard Hill Sanju Velani
+	The Jarník-Besicovitch Theorem for Geometrically Finite Kleinian Groups	1998	Richard Hill Sanju Velani
+ PDF Chat	Glasner sets and polynomials in primes	1998	R. Nair Sanju Velani
+ PDF Chat	Metric diophantine approximation in Julia sets of expanding rational maps	1997	Richard Hill Sanju Velani
+	On the forcing relation for surface homeomorphisms . Multidimensional nonhyperbolic attractors . Representation theory and sheaves on the Bruhat-Tits building . Metric diophantine approximation in Julia sets of expanding rational maps	1997	Jérôme Los Marcelo Viana Peter Schneider Ulrich Stuhler Richard Hill Sanju Velani
+	Geometrically finite groups, Khintchine-type theorems and Hausdorff dimension	1996	Sanju Velani
+	The ergodic theory of shrinking targets	1995	Richard Hill Sanju Velani
+	The Patterson Measure for Geometrically Finite Groups with Parabolic Elements, New and Old	1995	Bernd O. Stratmann Sanju Velani
+ PDF Chat	An application of metric diophantine approximation in hyperbolic space to quadratic forms	1994	Sanju Velani
+	Diophantine approximation and Hausdorff dimension in Fuchsian groups	1993	Sanju Velani

Common Coauthors

Coauthor	Papers Together
Victor Beresnevich	59
Evgeniy Zorin	12
Andrew Pollington	11
R. C. Vaughan	10
Dzmitry Badziahin	9
Alan Haynes	9
Detta Dickinson	8
Jason Levesley	6
Richard Hill	6
Dzmitry Badziahin	4
Felipe A. Ramírez	4
Agamemnon Zafeiropoulos	4
Yann Bugeaud	4
Anish Ghosh	4
Simon Kristensen	4
Lingmin Liao	3
Faustin Adiceam	3
Bing Li	2
Cem Salp	2
David Simmons	2
Rebecca Thorn	2
Stephen Harrap	2
Antoine Marnat	2
Arijit Ganguly	2
Jinpeng An	2
Lifan Guan	2
Bing Li	2
K. J. Falconer	2
M. M. Dodson	2
Baowei Wnag	1
R. Nair	1
appendix by Baowei Wang	1
Tom Fisher	1
Marcelo Viana	1
Domingo Pestana	1
V.C. Vaughan	1
Виктор В Бересневич	1
David Simmons	1
Jérôme Los	1
Chris Smyth	1
Peter Schneider	1
Rainer Dietmann	1
Jeremy Levesley	1
Ulrich Stuhler	1
María V. Melián	1
L. Lee	1
Glyn Harman	1
Vasily Bernik	1
Bernd O. Stratmann	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer	33
+	Measure Theoretic Laws for Lim Sup Sets	2005	Victor Beresnevich Detta Dickinson Sanju Velani	30
+	Metric theory of diophantine approximations	1979	V. G. Sprindzhuk	25
+ PDF Chat	Flows on Homogeneous Spaces and Diophantine Approximation on Manifolds	1998	Dmitry Kleinbock G. A. Margulis	25
+	Metric number theory	1998	G. Harman	21
+	Metric Simultaneous Diophantine Approximation	1962	Paul Gallagher	20
+ PDF Chat	Diophantine approximation on planar curves and the distribution of rational points (with an Appendix by R. C. Vaughan)	2007	Victor Beresnevich Detta Dickinson Sanju Velani R. C. Vaughan	19
+	Khintchine’s problem in metric Diophantine approximation	1941	R. J. Duffin A. C. Schaeffer	16
+	None	2001	В. И. Берник Dmitry Kleinbock G. A. Margulis	16
+ PDF Chat	A Mass Transference Principle and the Duffin–Schaeffer conjecture for Hausdorff measures	2006	Victor Beresnevich Sanju Velani	15
+	Diophantine Approximation and Hausdorff Dimension	1970	A. Baker Wolfgang M. Schmidt	15
+ PDF Chat	On the metric theory of Diophantine approximation	1978	Jeffrey D. Vaaler	15
+	None	2002	Victor Beresnevich	15
+	Metric Diophantine Approximation on Manifolds	2010	В. И. Берник M. M. Dodson	14
+ PDF Chat	Diophantine approximation on planar curves: the convergence theory	2006	R. C. Vaughan Sanju Velani	14
+	Einige S�tze �ber Kettenbr�che, mit Anwendungen auf die Theorie der Diophantischen Approximationen	1924	A. Khintchine	14
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels	13
+ PDF Chat	On a problem in simultaneous diophantine approximation: Littlewood's conjecture	2000	Andrew Pollington Sanju Velani	13
+ PDF Chat	Rational points near manifolds and metric Diophantine approximation	2011	Victor Beresnevich	13
+	Classical metric Diophantine approximation revisited	2008	Victor Beresnevich Vasily Bernik M. M. Dodson Sanju Velani	13
+	Diophantine approximation and a lower bound for Hausdorff dimension	1990	M. M. Dodson Bryan P. Rynne James Vickers	12
+ PDF Chat	A note on simultaneous Diophantine approximation on planar curves	2006	Victor Beresnevich Sanju Velani	11
+ PDF Chat	Inhomogeneous Diophantine approximation on planar curves	2010	Victor Beresnevich R. C. Vaughan Sanju Velani	11
+	Diophantine approximation in Fuchsian groups	1976	S. J. Patterson	10
+	Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers	1934	A. S. Besicovitch	10
+ PDF Chat	Explicit bounds for rational points near planar curves and metric Diophantine approximation	2010	Victor Beresnevich Evgeniy Zorin	10
+	Metric Diophantine Approximation on Manifolds	1999	В. И. Берник M. M. Dodson	10
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila	10
+ PDF Chat	The <i>k</i> ‐dimensional Duffin and Schaeffer conjecture	1990	Andrew Pollington R. C. Vaughan	9
+ PDF Chat	Metric Diophantine Approximation: Aspects of Recent Work	2016	Victor Beresnevich Felipe A. Ramírez Sanju Velani	9
+ PDF Chat	Invariant measures and the set of exceptions to Littlewood’s conjecture	2006	Manfred Einsiedler Anatole Katok Elon Lindenstrauss	9
+ PDF Chat	Metric Diophantine Approximation: The Khintchine—Groshev Theorem for Nondegenerate Manifolds	2002	Victor Beresnevich В. И. Берник Dmitry Kleinbock G. A. Margulis	9
+ PDF Chat	Schmidt's theorem, Hausdorff measures, and slicing	2006	Victor Beresnevich Sanju Velani	9
+	Hausdorff measure and linear forms.	1997	Detta Dickinson	9
+	Dirichlet's theorem on diophantine approximation	1978	Roger C. Baker	9
+ PDF Chat	Extremal subspaces and their submanifolds	2003	Dmitry Kleinbock	9
+	Metric simultaneous diophantine approximation (II)	1965	Patrick X. Gallagher	9
+ PDF Chat	Badly approximable points on manifolds	2015	Victor Beresnevich	9
+ PDF Chat	Metrical theorems on fractional parts of sequences	1964	Wolfgang M. Schmidt	9
+ PDF Chat	An inhomogeneous transference principle and Diophantine approximation	2010	Victor Beresnevich Sanju Velani	8
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen	8
+	Some metrical theorems in Diophantine approximation. I	1950	J. W. S. Cassels	8
+ PDF Chat	Geodesic excursions into cusps in finite-volume hyperbolic manifolds.	1993	María V. Melián Domingo Pestana	8
+	Zur metrischen Theorie der diophantischen Approximationen	1926	A. Khintchine	8
+ PDF Chat	Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics	1982	Dennis Sullivan	8
+ PDF Chat	A note on zero-one laws in metrical Diophantine approximation	2008	Victor Beresnevich Sanju Velani	8
+ PDF Chat	On a problem in simultaneous Diophantine approximation: Schmidt's conjecture	2011	Dzmitry Badziahin Andrew Pollington Sanju Velani	8
+	On Simultaneously Badly Approximable Numbers	2002	Andrew Pollington Sanju Velani	8
+	On fractal measures and diophantine approximation	2005	Dmitry Kleinbock Elon Lindenstrauss Barak Weiss	8
+	Multiplicatively badly approximable numbers and generalised Cantor sets	2011	Dzmitry Badziahin Sanju Velani	8