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papers

Publications (78)

math.DG2013

Connecting toric manifolds by conical Kahler-Einstein metrics

Ved Datar, Bin Guo, Jian Song +1

math.DG2011

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

Jian Song, Gang Tian

math.DG2014

Riemannian geometry of Kahler-Einstein currents

Jian Song

math.PR2018

Hölder continuity for the Parabolic Anderson Model with space-time homogeneous Gaussian noise

Raluca M. Balan, Lluís Quer-Sardanyons, Jian Song

math.DG2013

The J-flow on Kahler surfaces: a boundary case

Hao Fang, Mijia Lai, Jian Song +1

math.DG2009

The Kahler-Ricci flow through singularities

Jian Song, Gang Tian

math.DG2014

The Ricci flow on the sphere with marked points

D. H. Phong, Jian Song, Jacob Sturm +1

math.DG2006

The Kähler-Ricci flow on surfaces of positive Kodaira dimension

Jian Song, Gang Tian

math.DG2008

Canonical measures and Kahler-Ricci flow

Jian Song, Gang Tian

math.DG2016

Schauder estimates for equations with cone metrics, I

Bin Guo, Jian Song

math.DG2017

Degeneration of Kahler-Einstein manifolds of negative scalar curvature

Jian Song

math.PR2008

Integral representation of renormalized self-intersection local times

Yaozhong Hu, David Nualart, Jian Song

math.DG2013

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

Jian Song, Ben Weinkove

math.DG2006

The Moser-Trudinger inequality on Kahler-Einstein manifolds

D. H. Phong, Jian Song, Jacob Sturm +1

math.PR2012

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

Yaozhong Hu, David Nualart, Jian Song

math.OC2012

Maximum Principle for General Controlled Systems Driven by Fractional Brownian Motions

Yuecai Han, Yaozhong Hu, Jian Song

math.DG2018

Compactness of Kahler-Ricci solitons on Fano manifolds

Bin Guo, Duong H. Phong, Jian Song +1

math.DG2009

Energy functionals and canonical Kahler metrics

Jian Song, Ben Weinkove

math.DG2017

Geometric estimates for complex Monge-Ampere equations

Xin Fu, Bin Guo, Jian Song

math.DG2012

Complex Monge Ampere Equations

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

math.PR2018

Limit theorems for functionals of two independent Gaussian processes

Jian Song, Fangjun Xu, Qian Yu

math.PR2012

The $\frac 43$-variation of the derivative of the self-intersection Brownian local time and related processes

Yaozhong Hu, David Nualart, Jian Song

math.PR2017

Hyperbolic Anderson Model with space-time homogeneous Gaussian noise

Raluca M. Balan, Jian Song

cs.IT2016

On the Multi-User, Multi-Cell Massive Spatial Modulation Uplink: How Many Antennas for Each User?

Longzhuang He, Jintao Wang, Jian Song +1

cs.IT2017

On the Achievable Spectral Efficiency of Spatial Modulation Aided Downlink Non-Orthogonal Multiple Access

Xuesi Wang, Jintao Wang, Longzhuang He +2

cs.IT2017

Spatial Modulation for More Spatial Multiplexing: RF-Chain-Limited Generalized Spatial Modulation Aided MmWave MIMO with Hybrid Precoding

Longzhuang He, Jintao Wang, Jian Song

math.DG2007

Test configurations, large deviations and geodesic rays on toric varieties

Jian Song, Steve Zelditch

math.DG2019

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

Jian Song, Gang Tian, Zhenlei Zhang

cs.CC2016

A Survey on the Computational Complexity of Colouring Graphs with Forbidden Subgraphs

Petr A. Golovach, Matthew Johnson, Daniël Paulusma +1

math.PR2010

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

Yaozhong Hu, David Nualart, Jian Song

math.DG2012

Degeneration of Kahler-Ricci solitons on Fano manifolds

D. H. Phong, Jian Song, Jacob Sturm

math.DG2013

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

Ved Datar, Jian Song

math.DG2007

Constructions of Kahler-Einstein metrics with negative scalar curvature

Jian Song, Ben Weinkove

math.DG2018

A remark on constant scalar curvature Kähler metrics on minimal models

Wangjian Jian, Yalong Shi, Jian Song

math.PR2019

High-dimensional central limit theorems for eigenvalue distributions of generalized Wishart processes

Jian Song, Jianfeng Yao, Wangjun Yuan

math.PR2017

Second order Lyapunov exponents for parabolic and hyperbolic Anderson models

Raluca M. Balan, Jian Song

math.DG2008

The modified Kähler-Ricci flow and solitons

D. H. Phong, Jian Song, Jacob Sturm +1

math.DG2015

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

Bin Guo, Jian Song

math.DG2010

Metric flips with Calabi ansatz

Jian Song, Yuan Yuan

cs.GR2013

Digitize Your Body and Action in 3-D at Over 10 FPS: Real Time Dense Voxel Reconstruction and Marker-less Motion Tracking via GPU Acceleration

Jian Song, Yatao Bian, Junchi Yan +2

math.DG2002

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

Jian Song

math.PR2019

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

Raluca M. Balan, Lluís Quer-Sardanyons, Jian Song

math.PR2014

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

Xia Chen, Yaozhong Hu, Jian Song

math.PR2009

Fractional martingales and characterization of the fractional Brownian motion

Yaozhong Hu, David Nualart, Jian Song

math.DG2009

Finite time extinction of the Kahler-Ricci flow

Jian Song

cs.IT2017

Generalized Spatial Modulation Aided MmWave MIMO with Sub-Connected Hybrid Precoding Scheme

Longzhuang He, Jintao Wang, Jian Song

math.DG2004

On the convergence and singularities of the J-flow with applications to the Mabuchi energy

Jian Song, Ben Weinkove

math.DG2007

Convergence of Bergman geodesics on CP^1

Jian Song, Steve Zelditch

math.PR2015

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

Paul M. N. Feehan, Ruoting Gong, Jian Song

cs.IT2017

Extensions of the I-MMSE Relation

Guangyue Han, Jian Song

math.DG2012

Lecture notes on the Kähler-Ricci flow

Jian Song, Ben Weinkove

math.ST2015

On drift parameter estimation for reflected fractional Ornstein-Uhlenbeck processes

Chihoon Lee, Jian Song

math.DG2012

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

Jian Song, Xiaowei Wang

math.PR2017

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

Jian Song, Xiaoming Song, Qi Zhang

math.PR2017

Some results on optimal stopping problems for one-dimensional regular diffusions

Dongchao Huang, Jian Song

cs.IT2018

A High-Accuracy Adaptive Beam Training Algorithm for MmWave Communication

Zihan Tang, Jun Wang, Jintao Wang +1

math.DG2016

Geometric convergence of the Kähler-Ricci flow on complex surfaces of general type

Bin Guo, Jian Song, Ben Weinkove

math.DG2011

The Kähler-Ricci flow on Hirzebruch surfaces

Jian Song, Ben Weinkove

cs.IT2017

Spectral Efficiency Analysis for Spatial Modulation in Massive MIMO Uplink over Dispersive Channels

Yue Sun, Jintao Wang, Longzhuang He +1

math.PR2016

Temporal asymptotics for fractional parabolic Anderson model

Xia Chen, Yaozhong Hu, Jian Song +1

math.DG2013

Ricci flow and birational surgery

Jian Song

math.DG2007

The Kähler-Ricci flow with positive bisectional curvature

D. H. Phong, Jian Song, Jacob Sturm +1

math.DG2015

Convergence of the conical Ricci flow on S2 to a soliton

D. H. Phong, Jian Song, Jacob Sturm +1

cs.IT2016

Multiuser Diversity Gain from Superposition of Infinite Users over Block-Fading MAC

Yushu Zhang, Kewu Peng, Jian Song +1

math.DG2012

Contracting exceptional divisors by the Kähler-Ricci flow II

Jian Song, Ben Weinkove

math.DG2003

The α-Invariant on Toric Fano Manifolds

Jian Song

cs.IT2017

Spectral-Efficient Analog Precoding for Generalized Spatial Modulation Aided MmWave MIMO

Longzhuang He, Jintao Wang, Jian Song

math.PR2016

On a class of stochastic partial differential equations

Jian Song

math.DG2014

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

Jian Song

math.DG2006

On Donaldson's flow of surfaces in a hyperkahler four-manifold

Jian Song, Ben Weinkove

math.DG2008

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

D. H. Phong, Jian Song, Jacob Sturm +1

math.DG2012

Some Type I solutions of Ricci flow with rotational symmetry

Jian Song

math.DG2004

The SzegÖ kernel on an orbifold circle bundle

Jian Song

math.DG2011

The Kähler-Ricci flow on projective bundles

Jian Song, Gábor Székelyhidi, Ben Weinkove

math.CV2009

Bergman metrics and geodesics in the space of Kähler metrics on toric varieties

Jian Song, Steve Zelditch

math.PR2019

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

Jian Song, Xiaoming Song, Fangjun Xu

eess.SP2018

Joint Transceiver Optimization for Wireless Communication PHY with Convolutional Neural Network

Banghua Zhu, Jintao Wang, Longzhuang He +1

math.DG2012

On a conjecture of Candelas and de la Ossa

Jian Song