Jian Song

发表

High-dimensional limits of eigenvalue distributions for general Wishart process

Jianfeng Yao, Jian Song, Wangjun Yuan, 2019, The Annals of Applied Probability.

Parameter estimation for reflected Ornstein–Uhlenbeck processes with discrete observations

Yaozhong Hu, Chihoon Lee, Jian Song, 2015 .

Feynman-Kac Formulas for Solutions to Degenerate Elliptic and Parabolic Boundary-Value and Obstacle Problems with Dirichlet Boundary Conditions

P. Feehan, R. Gong, Jian Song, 2015, 1509.03864.

On drift parameter estimation for reflected fractional Ornstein–Uhlenbeck processes

Chihoon Lee, Jian Song, 2013, 1303.6379.

SPECTRAL PROPERTIES OF POPULATION OPERATOR AND ASYMTOTIC BEHAVIOUR OF POPULATION SEMIGROUP

G. Zhu, Jian Song, Yuanyang Yu, 1982 .

The Moser-Trudinger inequality on Kähler-Einstein manifolds

B. Weinkove, Jian Song, D. H. Phong, 2006, math/0604076.

Diameter estimates in K\"ahler geometry

Jian Song, D. Phong, J. Sturm, 2022, 2209.09428.

Geometric convergence of the K\"ahler-Ricci flow on complex surfaces of general type

B. Weinkove, Jian Song, B. Guo, 2015, 1505.00705.

Contracting exceptional divisors by the Kähler–Ricci flow II

B. Weinkove, Jian Song, 2010, 1102.1759.

The Kähler–Ricci flow on surfaces of positive Kodaira dimension

Jian Song, G. Tian, 2006, math/0602150.

THE KÄHLER-RICCI FLOWON KÄHLER SURFACES

Jian Song, 2006 .

Hyperbolic Anderson model 2: Strichartz estimates and Stratonovich setting

Xia Chen, Jian Song, S. Tindel, 2022, 2205.15773.

N ov 2 01 0 Metric flips with Calabi ansatz 1

Jian Song, Yuan Yuan, 2010 .

The Kähler–Ricci flow through singularities

Jian Song, G. Tian, 2016, Inventiones mathematicae.

Ricci flow and birational surgery

Jian Song, 2013, 1304.2607.

The Kähler–Ricci flow through singularities

Jian Song, G. Tian, 2009, 0909.4898.

Convergence of Bergman geodesics on CP^1

S. Zelditch, Jian Song, 2007, math/0703517.

The SzegÖ kernel on an orbifold circle bundle

Jian Song, 2004, math/0405071.

A new correlation inequality for Ising models with external fields

Jian Ding, Rongfeng Sun, Jian Song, 2021, Probability Theory and Related Fields.

Second order Lyapunov exponents for parabolic and hyperbolic Anderson models

Jian Song, R. Balan, 2017, Bernoulli.

Hyperbolic Anderson Model with space-time homogeneous Gaussian noise

Jian Song, R. Balan, 2016, 1602.07004.

Feynman–Kac formula for heat equation driven by fractional white noise

D. Nualart, Yaozhong Hu, Jian Song, 2009, 0906.3076.

Test configurations, large deviations and geodesic rays on toric varieties

S. Zelditch, Jian Song, 2007, 0712.3599.

A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution

D. Nualart, Yaozhong Hu, Jian Song, 2011, 1110.4855.

Riemannian geometry of Kahler-Einstein currents III: compactness of Kahler-Einstein manifolds of negative scalar curvature

Jian Song, J. Sturm, Xiaowei Wang, 2020, 2003.04709.

D G ] 1 O ct 2 01 2 COMPLEX MONGE-AMPÈRE EQUATIONS 1

Jian Song, D. Phong, J. Sturm, 2014 .

An Introduction to the Kähler–Ricci Flow

B. Weinkove, Jian Song, 2013 .

Surveys in Differential Geometry XVII Complex Monge-Ampère Equations 1

Jian Song, D. Phong, J. Sturm, 2012 .

Local noncollapsing for complex Monge–Ampère equations

Jian Song, B. Guo, 2022, Journal für die reine und angewandte Mathematik (Crelles Journal).

A remark on Kähler metrics with conical singularities along a simple normal crossing divisor

Jian Song, V. Datar, 2013, 1309.5013.

Lecture notes on the Kähler-Ricci flow

B. Weinkove, Jian Song, 2012 .

Lecture notes on the K\"ahler-Ricci flow

B. Weinkove, Jian Song, 2012, 1212.3653.

The degenerate J-flow and the Mabuchi energy on minimal surfaces of general type

B. Weinkove, Jian Song, 2012, 1309.3810.

The Kähler-Ricci flow on singular Calabi-Yau varieties

Jian Song, Yuan Yuan, 2010 .

Canonical measures and Kähler-Ricci flow

Jian Song, G. Tian, 2008, 0802.2570.

Metric rigidity of Kähler manifolds with lower Ricci bounds and almost maximal volume

H. Seshadri, Jian Song, V. Datar, 2020, 2010.10925.

Metric Flips with Calabi Ansatz

Jian Song, Yuan Yuan, 2010, 1011.1608.

The Ricci flow on the sphere with marked points

Jian Song, D. Phong, J. Sturm, 2014, Journal of Differential Geometry.

Complex Monge Ampere Equations

Jian Song, D. Phong, J. Sturm, 2012, 1209.2203.

The Kähler–Ricci flow through singularities

Jian Song, G. Tian, 2009, Inventiones mathematicae.

Bergman metrics and geodesics in the space of K

S. Zelditch, Jian Song, 2007, 0707.3082.

Energy functionals and canonical Kahler metrics

B. Weinkove, Jian Song, 2005, math/0505476.

On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy

B. Weinkove, Jian Song, 2004, math/0410418.

The Kähler-Ricci flow and the [symbol] operator on vector fields

B. Weinkove, Jian Song, D. Phong, 2009 .

The Kähler–Ricci flow with positive bisectional curvature

B. Weinkove, Jian Song, D. Phong, 2007, 0706.2852.

The Kähler-Ricci flow and the $\bar\partial$ operator on vector fields

B. Weinkove, Jian Song, D. Phong, 2007, 0705.4048.

Recent advances on eigenvalues of matrix-valued stochastic processes

Jian Song, Jianfeng Yao, Wangjun Yuan, 2021, J. Multivar. Anal..

Feynman-Kac formula for fractional heat equation driven by fractional white noise

Yaozhong Hu, Xia Chen, Jian Song, 2012, 1203.0477.

Geometric estimates for complex Monge–Ampère equations

Jian Song, B. Guo, X. Fu, 2017, Journal für die reine und angewandte Mathematik (Crelles Journal).

Existence of density for the stochastic wave equation with space-time homogeneous Gaussian noise

Jian Song, Lluís Quer-Sardanyons, R. Balan, 2018, Electronic Journal of Probability.

An Analytic Proof of the Stable Reduction Theorem.

Jian Song, J. Sturm, Xiaowei Wang, 2020, 2009.13596.

Kähler–Einstein metrics near an isolated log-canonical singularity

Jian Song, X. Fu, V. Datar, 2021, Journal für die Reine und Angewandte Mathematik.

The α-invariant on toric Fano manifolds

Jian Song, 2005 .

Continuity of the Weil-Petersson potential

Jian Song, J. Sturm, Xiaowei Wang, 2020, 2008.11215.

Degeneration of Kahler-Einstein manifolds of negative scalar curvature

Jian Song, 2017, 1706.01518.

Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theorem

Jian Song, 2014, 1409.8374.

Connecting toric manifolds by conical Kahler-Einstein metrics

Jian Song, B. Guo, Xiaowei Wang, 2013, 1308.6781.

Degeneration of Kahler-Ricci solitons on Fano manifolds

Jian Song, D. Phong, J. Sturm, 2012, 1211.5849.

The greatest Ricci lower bound, conical Einstein metrics and Chern number inequality

Jian Song, Xiaowei Wang, 2012, 1207.4839.

Compactness of Kähler–Ricci solitons on Fano manifolds

Jian Song, D. Phong, J. Sturm, 2018, Pure and Applied Mathematics Quarterly.

D G ] 8 M ay 2 01 8 Compactness of Kähler-Ricci solitons on Fano manifolds 1

Jian Song, D. Phong, J. Sturm, 2018 .

On Feldman-Ilmanen-Knopf conjecture for the blow-up behavior of the Kahler Ricci flow

Jian Song, B. Guo, 2015, 1505.04869.

Some Type I Solutions of Ricci Flow with Rotational Symmetry

Jian Song, 2012, 1203.2688.

Finite time extinction of the Kahler-Ricci flow

Jian Song, 2009, 0905.0939.

On Donaldson’s flow of surfaces in a hyperkähler four-manifold

B. Weinkove, Jian Song, 2006, math/0606394.

Bounding scalar curvature for global solutions of the Kähler-Ricci flow

Jian Song, G. Tian, 2011, 1111.5681.

Contracting exceptional divisors by the K

B. Weinkove, Jian Song, 2010 .

The Kähler–Ricci flow on Hirzebruch surfaces

B. Weinkove, Jian Song, 2009, 0903.1900.

On the convergence of the modified Kähler–Ricci flow and solitons

B. Weinkove, Jian Song, D. Phong, 2011 .

The modified K\"ahler-Ricci flow and solitons

B. Weinkove, Jian Song, D. Phong, 2008, 0809.0941.

Nakai-Moishezon criterions for complex Hessian equations

Jian Song, 2020, 2012.07956.

A remark on constant scalar curvature Kähler metrics on minimal models

Jian Song, Yalong Shi, Wangjian Jian, 2018, Proceedings of the American Mathematical Society.

The J-flow on Kähler surfaces: a boundary case

B. Weinkove, Jian Song, H. Fang, 2012, 1204.4068.

D G ] 1 7 M ay 2 01 8 A remark on constant scalar curvature Kähler metrics on minimal models 1

Jian Song, Yalong Shi, Wangjian Jian, 2018 .

Riemannian geometry of Kahler-Einstein currents

Jian Song, 2014, 1404.0445.

Fractional martingales and characterization of the fractional Brownian motion

D. Nualart, Yaozhong Hu, Jian Song, 2007, 0711.1313.

Parameter Estimation for Fractional Ornstein–Uhlenbeck Processes with Discrete Observations

Yaozhong Hu, Jian Song, 2013 .

Fractional stochastic wave equation driven by a Gaussian noise rough in space

Jian Song, Fangjun Xu, Xiaoming Song, 2019, Bernoulli.

On a class of stochastic partial differential equations

Jian Song, 2015, 1503.06525.

Nonlinear Feynman-Kac formulae for SPDEs with space-time noise

Jian Song, Xiaoming Song, Qi Zhang, 2017, 1712.00475.

Scaling limit of a directed polymer among a Poisson field of independent walks

Rongfeng Sun, Jian Song, Hao Shen, 2020, 2003.12945.

Hitting probabilities of Gaussian random fields and collision of eigenvalues of random matrices

Yimin Xiao, Jian Song, Wangjun Yuan, 2022, 2202.03625.

On collision of multiple eigenvalues for matrix-valued Gaussian processes

Yimin Xiao, Jian Song, Wangjun Yuan, 2020, 2006.15839.

Solving the hyperbolic Anderson model 1: Skorohod setting

Samy Tindel, Xia Chen, Aur'elien Deya, 2021, 2112.04954.

Temporal asymptotics for fractional parabolic Anderson model

Yaozhong Hu, Xia Chen, Jian Song, 2016, 1604.03493.

Schauder estimates for equations with cone metrics, I

Jian Song, Bin Guo, Jian Song, 2016, Indiana University Mathematics Journal.

Constructions of Kähler–Einstein metrics with negative scalar curvature

B. Weinkove, Jian Song, 2007, 0704.1005.

Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow

Jian Song, G. Tian, Zhenlei Zhang, 2019, 1904.08345.

The K\"ahler-Ricci flow on projective bundles

B. Weinkove, Jian Song, G'abor Sz'ekelyhidi, 2011, 1107.2144.

The α-invariant on certain surfaces with symmetry groups

Jian Song, 2004 .

The \alpha-Invariant on Toric Fano Manifolds

Jian Song, 2003, math/0307288.

The $\alpha$-Invariant on $CP^2#2\bar{CP^2}$

Jian Song, 2002, math/0205041.

D G ] 2 5 A ug 2 02 0 CONTINUITY OF THE WEIL-PETERSSON POTENTIAL

Jian Song, 2020 .

Ju l 2 00 3 THE α-INVARIANTS ON TORIC FANO MANIFOLDS

Jian Song, 2008 .

THE α-INVARIANT ON CP 2 # 2 CP 2

Jian Song, 2002 .

THE α-INVARIANT ON CP#2CP2

Jian Song, 2002 .

On a Conjecture of Candelas and de la Ossa

Jian Song, 2012, 1201.4358.

Limit theorems for functionals of two independent Gaussian processes

Jian Song, Fangjun Xu, Qian Yu, 2017, Stochastic Processes and their Applications.