Jiyoung Han

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All published works
Action Title Year Authors
+ PDF Chat Distribution of Primitve Lattice Points in Large Dimensions 2024 Jiyoung Han
+ PDF Chat Asymptotic distribution for pairs of linear and quadratic forms at integral vectors 2024 Jiyoung Han
Seonhee Lim
Keivan Mallahi-Karai
+ PDF Chat Weight decomposition of $\mathfrak{sl}_d(\mathbb R)$ with respect to the adjoint representation of $\mathfrak{so}(p,q)$ 2024 Jiyoung Han
+ PDF Chat HIGHER MOMENT FORMULAE AND LIMITING DISTRIBUTIONS OF LATTICE POINTS 2023 Mahbub Alam
Anish Ghosh
Jiyoung Han
+ PDF Chat A quantitative Khintchine–Groshev theorem for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e20" altimg="si4.svg"><mml:mi>S</mml:mi></mml:math>-arithmetic diophantine approximation 2023 Jiyoung Han
+ Mean value theorems for the S-arithmetic primitive Siegel transforms 2023 Samantha Fairchild
Jiyoung Han
+ PDF Chat Values of inhomogeneous forms at <i>S</i> ‐integral points 2022 Anish Ghosh
Jiyoung Han
+ Rogers' mean value theorem for S-arithmetic Siegel transforms and applications to the geometry of numbers 2022 Jiyoung Han
+ Higher moment formulae and limiting distributions of lattice points 2021 Mahbub Alam
Anish Ghosh
Jiyoung Han
+ Asymptotic distribution for pairs of linear and quadratic forms at integral vectors 2021 Jiyoung Han
Seonhee Lim
Keivan Mallahi-Karai
+ Quantitative oppenheim conjecture for $ S $-arithmetic quadratic forms of rank $ 3 $ and $ 4 $ 2020 Jiyoung Han
+ A generic effective Oppenheim theorem for systems of forms 2020 Prasuna Bandi
Anish Ghosh
Jiyoung Han
+ A generic effective Oppenheim theorem for systems of forms 2020 Prasuna Bandi
Anish Ghosh
Jiyoung Han
+ Mean Value of $S$-arithmetic Siegel transform: Rogers' mean value theorem for $S$-arithmetic Siegel transform and applications to the geometry of numbers 2019 Jiyoung Han
+ Quantitative Oppenheim conjecture for $S$-arithmetic quadratic forms of rank $3$ and $4$ 2019 Jiyoung Han
+ Rogers' mean value theorem for $S$-arithmetic Siegel transform and applications to the geometry of numbers 2019 Jiyoung Han
+ Asymptotic distribution of values of isotropic here quadratic forms at &lt;i&gt;S&lt;/i&gt;-integral points 2017 Jiyoung Han
Seonhee Lim
Keivan Mallahi-Karai
+ Asymptotic distribution of values of isotropic quadratic forms at $S$-integral points 2016 Jiyoung Han
Seonhee Lim
Keivan Mallahi-Karai
+ Distribution of integral lattice points in an ellipsoid with a diophantine center 2015 Jiyoung Han
Hyunsuk Kang
Yong‐Cheol Kim
Seonhee Lim
+ Distribution of integral lattice points in an ellipsoid with a diophantine center 2013 Jiyoung Han
Hyunsuk Kang
Yong‐Cheol Kim
Seonhee Lim
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Upper Bounds and Asymptotics in a Quantitative Version of the Oppenheim Conjecture 1998 Alex Eskin
G. A. Margulis
Shahar Mozes
10
+ Limit distributions of orbits of unipotent flows and values of quadratic forms 1993 S. G. Dani
G. A. Margulis
9
+ PDF Chat Quadratic forms of signature (2,2) and eigenvalue spacings on rectangular 2-tori 2005 Alex Eskin
G. Margulis
Shahar Mozes
8
+ PDF Chat Effective Density for Inhomogeneous Quadratic Forms I: Generic Forms and Fixed Shifts 2020 Anish Ghosh
Dubi Kelmer
Shucheng Yu
8
+ PDF Chat A quantitative Oppenheim theorem for generic ternary quadratic forms 2018 Anish Ghosh
Dubi Kelmer
6
+ PDF Chat Equidistribution of values of linear forms on quadratic surfaces 2014 Oliver Sargent
6
+ PDF Chat Values of random polynomials at integer points 2018 Jayadev S. Athreya
G. A. Margulis
6
+ Asymptotic distribution of values of isotropic here quadratic forms at &lt;i&gt;S&lt;/i&gt;-integral points 2017 Jiyoung Han
Seonhee Lim
Keivan Mallahi-Karai
6
+ A Mean Value Theorem in Geometry of Numbers 1945 Carl Ludwig Siegel
6
+ PDF Chat Mean values over the space of lattices 1955 C. A. Rogers
6
+ PDF Chat Oppenheim conjecture for pairs consisting of a linear form and a quadratic form 2004 Alexander Gorodnik
5
+ PDF Chat A metrical theorem in geometry of numbers 1960 Wolfgang M. Schmidt
5
+ A generic effective Oppenheim theorem for systems of forms 2020 Prasuna Bandi
Anish Ghosh
Jiyoung Han
4
+ PDF Chat Flows on $S$-arithmetic homogeneous spaces and applications to metric Diophantine approximation 2007 Dmitry Kleinbock
George Tomanov
4
+ PDF Chat Values of Isotropic Quadratic Forms at S -Integral Points 2001 Armand Borel
4
+ Algebraic groups and number theory 1992 В. П. Платонов
Andrei S. Rapinchuk
4
+ The Number of Lattice Points in a Set 1956 C. Rogers
4
+ Values of random polynomials in shrinking targets 2020 Dubi Kelmer
Shucheng Yu
4
+ PDF Chat Quantitative Diophantine approximation with congruence conditions 2021 Mahbub Alam
Anish Ghosh
Shucheng Yu
4
+ PDF Chat A quantitative Oppenheim theorem for generic diagonal quadratic forms 2016 Jean Bourgain
4
+ PDF Chat Volumes of S-arithmetic quotients of semi-simple groups 1989 Gopal Prasad
3
+ Two Integral Inequalities 1956 C. A. Rogers
3
+ PDF Chat Orbits on Homogeneous Spaces of Arithmetic Origin and Approximations 2018 George Tomanov
3
+ PDF Chat Arithmetic Subgroups of Algebraic Groups 1962 Armand Borel
Harish-chandra Harish-Chandra
3
+ Random Affine Lattices 2015 Jayadev S. Athreya
3
+ Orbit closures of generic unipotent flows on homogeneous spaces ofSL(3, ℝ) 1990 S. G. Dani
G. A. Margulis
3
+ PDF Chat On the Convergence of Mean Values Over Lattices 1958 Wolfgang M. Schmidt
3
+ PDF Chat Pair correlation densities of inhomogeneous quadratic forms 2003 Jens Marklof
3
+ Density of values of linear maps on quadratic surfaces 2014 Oliver Sargent
3
+ The $\bm{n}$-point correlations between values of a linear form 2000 Jens Marklof
3
+ Raghunathan’s conjectures for Cartesian products of real and 𝔭-adic Lie groups 1995 Marina Ratner
3
+ PDF Chat The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems 2010 Jens Marklof
Andreas Strömbergsson
3
+ Optimal density for values of generic polynomial maps 2018 Anish Ghosh
Alexander Gorodnik
Amos Nevo
3
+ PDF Chat Simultaneous diophantine approximation with quadratic and linear forms 2008 Shrikrishna G. Dani
2
+ The distribution of directions in an affine lattice: two-point correlations and mixed moments 2013 Daniel El-Baz
Jens Marklof
Ilya Vinogradov
2
+ Raghunathan’s topological conjecture and distributions of unipotent flows 1991 Marina Ratner
2
+ On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form 2019 Prasuna Bandi
Anish Ghosh
2
+ PDF Chat POLYNOMIAL DYNAMIC AND LATTICE ORBITS IN S-ARITHMETIC HOMOGENEOUS SPACES 2010 Antonin Guilloux
2
+ Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work 1978 G. H. Hardy
2
+ PDF Chat Pair correlation densities of inhomogeneous quadratic forms, II 2002 Jens Marklof
2
+ PDF Chat Convergence of Probability Measures 1999 Patrick Billingsley
2
+ Central Limit Theorems in the geometry of numbers 2017 Alexander Gorodnik
Michael Björklund
2
+ Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height 1968 Wolfgang M. Schmidt
2
+ PDF Chat Masstheorie in der Geometrie der Zahlen 1959 Wolfgang M. Schmidt
2
+ PDF Chat On Values of Linear and Quadratic Forms at Integral Points 2000 S. G. Dani
2
+ PDF Chat Effective estimates on indefinite ternary forms 2014 Elon Lindenstrauss
G. A. Margulis
2
+ PDF Chat Limit distributions of expanding translates of certain orbits on homogeneous spaces 1996 Nimish A. Shah
2
+ Invariant measures and minimal sets of horospherical flows 1981 S. G. Dani
2
+ Systems of quadratic Diophantine inequalities and the value distribution of quadratic forms 2007 Wolfgang Müller
2
+ On an oppenheim-type conjecture for systems of quadratic forms 2004 Alexander Gorodnik
2