The modified K\"ahler-Ricci flow and solitons (2008)
Phong, D. H., Song, Jian, Sturm, Jacob, Weinkove, Ben
We investigate the K\"ahler-Ricci flow modified by a holomorphic vector field. We find equivalent analytic criteria for the convergence of the flow to a K\"ahler-Ricci soliton. In addition, we relate...
The Moser-Trudinger inequality on Kähler-Einstein manifolds (2008)
D. H. Phong, Jian Song, Jacob Sturm, Ben Weinkove
American Journal of Mathematics - Volume 130, Number 4, August 2008
Integral representation of renormalized self-intersection local times (2008)
Hu, Yaozhong, Nualart, David, Song, Jian
In this paper we apply Clark-Ocone formula to deduce an explicit integral representation for the renormalized self-intersection local time of the $d$% -dimensional fractional Brownian motion with...
Canonical measures and Kahler-Ricci flow (2008)
We show that the Kahler-Ricci flow on an algebraic manifold of positive Kodaira dimension and semi-ample canonical line bundle converges to a unique canonical metric on its canonical model. It is...
3-Hydroxy-7,8-dimethoxyquinolin-2(1H)-one (2008)
Jian Song, Yongcheng Lin, Wing Lai Chan
In the crystal structure of the title compound, C11H11NO4, intramolecular O—H...O hydrogen bonding results in the formation of a planar five-membered ring, which is nearly coplanar with the...
Test configurations, large deviations and geodesic rays on toric varieties (2007)
This article contains a detailed study, in the toric case, of the test configuration geodesic rays defined by Phong-Sturm. We show that the `Bergman approximations' of Phong-Sturm converge in C^1 to...
Fractional martingales and characterization of the fractional Brownian motion (2007)
Hu, Yaozhong, Nualart, David, Song, Jian
In this paper we introduce the notion of $\alpha$-martingale as the fractional derivative of order $\alpha$ of a continuous local martingale, where $ \alpha\in (-\frac 12, \frac 12)$, and we show...
Bergman metrics and geodesics in the space of K\"ahler metrics on toric varieties (2007)
Geodesics on the infinite dimensional symmetric space $\hcal$ of K\"ahler metrics in a fixed K\"ahler class on a projective K\"ahler manifold X are solutions of a homogeneous complex Monge-Amp\`ere...
The K\"ahler-Ricci flow with positive bisectional curvature (2007)
Phong, D. H., Song, Jian, Sturm, Jacob, Weinkove, Ben
We show that the K\"ahler-Ricci flow on a manifold with positive first Chern class converges to a K\"ahler-Einstein metric assuming positive bisectional curvature and certain stability conditions.
The K\"ahler-Ricci flow and the $\bar\partial$ operator on vector fields (2007)
Phong, D. H., Song, Jian, Sturm, Jacob, Weinkove, Ben
The limiting behavior of the normalized K\"ahler-Ricci flow for manifolds with positive first Chern class is examined under certain stability conditions. First, it is shown that if the Mabuchi...
Constructions of Kahler-Einstein metrics with negative scalar curvature (2007)
We show that on Kahler manifolds with negative first Chern class, the sequence of algebraic metrics introduced by H. Tsuji converges uniformly to the Kahler-Einstein metric. For algebraic surfaces of...
Convergence of Bergman geodesics on CP^1 (2007)
The space of positively curved hermitian metrics on a positive holomorphic line bundle over a compact complex manifold is an infinite-dimensional symmetric space. It is shown by Phong and Sturm that...
Energy functionals and canonical Kähler metrics (2007)
Yau [Y2] has conjectured that a Fano manifold admits a Kähler-Einstein metric if and only if it is stable in the sense of geometric invariant theory. There has been much progress on this conjecture...
IgG1 (gamma1), known as surface marker of memory B cells, is characterized with a conserved cytoplasmic tail that is lacking in IgM (mu) and IgD (delta) chains (Geisberger et al., 2003; Neuberger et...
On Donaldson's flow of surfaces in a hyperkahler four-manifold (2006)
We prove some basic properties of Donaldson's flow of surfaces in a hyperkahler 4-manifold. When the initial submanifold is symplectic with respect to one K\"ahler form and Lagrangian with respect to...
The Moser-Trudinger inequality on Kahler-Einstein manifolds (2006)
Phong, D. H., Song, Jian, Sturm, Jacob, Weinkove, Ben
We prove the conjecture of Tian on the strong form of the Moser-Trudinger inequality for Kahler-Einstein manifolds with positive first Chern class, when there are no holomorphic vector fields, and,...
The K\"ahler-Ricci flow on surfaces of positive Kodaira dimension (2006)
The existence of K\"ahler-Einstein metrics on a compact K\"ahler manifold has been the subject of intensive study over the last few decades, following Yau's solution to Calabi's conjecture. The Ricci...
We will consider the following nonlinear impulsive delay differential equation N′(t)=r(t)N(t)((K(t)−N(t−mw))/(K(t)+λ(t)N(t−mw))), a.e. t>0,...
The α -invariant on toric Fano manifolds (2005)
American Journal of Mathematics - Volume 127, Number 6, December 2005
Energy functionals and canonical Kahler metrics (2005)
Yau conjectured that a Fano manifold admits a Kahler-Einstein metric if and only if it is stable in the sense of geometric invariant theory. There has been much progress on this conjecture by Tian,...
The TyrA family of aromatic-pathway dehydrogenases in phylogenetic context (2005)
Song, Jian, Bonner, Carol A, Wolinsky, Murray, Jensen, Roy A
Abstract Background The TyrA protein family includes members that catalyze two dehydrogenase reactions in distinct pathways leading to L-tyrosine and a third reaction that is not part of tyrosine...
On the convergence and singularities of the J-flow with applications to the Mabuchi energy (2004)
The J-flow of S. K. Donaldson and X. X. Chen is a parabolic flow on Kahler manifolds with two Kahler metrics. It is the gradient flow of the J-functional which appears in Chen's formula for the...
Xie, Gary, Bonner, Carol A, Song, Jian, Keyhani, Nemat O, Jensen, Roy A
Abstract Background The growing conviction that lateral gene transfer plays a significant role in prokaryote genealogy opens up a need for comprehensive evaluations of gene-enzyme systems on a...
The Szeg\"O kernel on an orbifold circle bundle (2004)
The analysis of holomorphic sections of high powers $L^N$ of holomorphic ample line bundles $L\to M$ over compact K\"ahler manifolds has been widely applied in complex geometry and mathematical...
Die neutrale Endopeptidase (NEP, EC 3.4.24.11; weitere Synonyme: Neprilysin, CD 10, CALLA) ist ein Typ II - integrales Membranenzym in Säugerzellen, die als Zink enthaltende Endopeptidase die lokale...
The \alpha-Invariant on Toric Fano Manifolds (2003)
The global holomorphic \alpha-invariant introduced by Tian is closely related with the study in the existence of Kahler-Einstein metric. We apply the result of Tian, Lu and Zelditch on polarized...
Marburg, Univ., Diss., 2004.
The $\alpha$-Invariant on $CP^2#2\bar{CP^2}$ (2002)
In this paper, we apply the Tian-Yau-Zelditch expansion of the Bergman kernel on polarized K\"ahler metrics to approximate plurisubharmonic functions and compute the $\alpha$-invariant of...
Song, Jian, Rolfe, Barbara E., Hayward, Ian Philip, Campbell, Gordon R., Campbell, Julie H.
When smooth muscle cells are enzyme-dispersed from tissues they lose their original filament architecture and extracellular matrix surrounds. They then reorganize their structural proteins to...
Song, Jian, Rolfe, Barbara E., Hayward, Ian Philip, Campbell, Gordon R., Campbell, Julie H.
When smooth muscle cells are enzyme-dispersed from tissues they lose their original filament architecture and extracellular matrix surrounds. They then reorganize their structural proteins to...
Song, Jian, Rolfe, Barbara E., Hayward, Ian Philip, Campbell, Gordon R., Campbell, Julie H.
When smooth muscle cells are enzyme-dispersed from tissues they lose their original filament architecture and extracellular matrix surrounds. They then reorganize their structural proteins to...
Thesis (Ph.D.) - University of Queensland, 2001.
Includes bibliography.
Advances in yield-driven design of microwave circuits (1991)
This thesis addresses itself to computer-aided yield-driver design of microwave circuits using implementable, efficient approximation and optimization techniques. Basic concepts of yield-driven...
Vita.
Song, Jian, Xia, Tianhui, Jensen, Roy A.
Pterin 4a-carbinolamine dehydratase is bifunctional in mammals. In addition to playing a catalytic role in pterin recycling in the cytoplasm, it plays a regulatory role in the nucleus, where it acts...
Master, Sharon, Zahrt, Thomas C., Song, Jian, Deretic, Vojo
Intracellular pathogenic bacteria, including Mycobacterium tuberculosis, frequently have multitiered defense mechanisms ensuring their survival in host phagocytic cells. One such defense determinant...
The TyrA family of aromatic-pathway dehydrogenases in phylogenetic context
Song, Jian, Bonner, Carol A, Wolinsky, Murray, Jensen, Roy A
Song, Jian, Xia, Tianhui, Jensen, Roy A.
Pterin 4a-carbinolamine dehydratase is bifunctional in mammals. In addition to playing a catalytic role in pterin recycling in the cytoplasm, it plays a regulatory role in the nucleus, where it acts...
Master, Sharon, Zahrt, Thomas C., Song, Jian, Deretic, Vojo
Intracellular pathogenic bacteria, including Mycobacterium tuberculosis, frequently have multitiered defense mechanisms ensuring their survival in host phagocytic cells. One such defense determinant...
The TyrA family of aromatic-pathway dehydrogenases in phylogenetic context
Song, Jian, Bonner, Carol A, Wolinsky, Murray, Jensen, Roy A
Waisman, Ari, Kraus, Manfred, Seagal, Jane, Ghosh, Snigdha, Melamed, Doron, Song, Jian, ...
We describe a mouse strain in which B cell development relies either on the expression of membrane-bound immunoglobulin (Ig) γ1 or μ heavy chains. Progenitor cells expressing γ1 chains from the...
Regulation of B cell homeostasis and activation by the tumor suppressor gene CYLD
Hövelmeyer, Nadine, Wunderlich, F. Thomas, Massoumi, Ramin, Jakobsen, Charlotte G., Song, Jian, Wörns, Marcus A., ...
B cell homeostasis is regulated by multiple signaling processes, including nuclear factor-κB (NF-κB), BAFF-, and B cell receptor signaling. Conditional disruption of genes involved in these...