7 citations · 17 across the 16 of their papers we have counts for
17 papers
Projective embedding of degenerating family of Kähler-Einstein manifolds with normal crossing limit
Jingzhou Sun
We study the Bergman embeddings of degenerating families of Kähler-Einstein manifolds of negative curvature. We show that when the central fiber has only simple normal crossing sin…
SMDP-Based Dynamic Batching for Efficient Inference on GPU-Based Platforms
Yaodan Xu, Jingzhou Sun, Sheng Zhou +1
In up-to-date machine learning (ML) applications on cloud or edge computing platforms, batching is an important technique for providing efficient and economical services at scale.…
On The Image Of The Hilbert Map
Jingzhou Sun
We talk about the image of the Hilbert map. We show the necessary and sufficient condition that the Hilbert map is surjective.
Sending Timely Status Updates through Channel with Random Delay via Online Learning
Haoyue Tang, Yuchao Chen, Jintao Wang +2
In this work, we study a status update system with a source node sending timely information to the destination through a channel with random delay. We measure the timeliness of the…
Asymptotics of partial density function vanishing along smooth subvariety
Jingzhou Sun
We study the asymptotic of the partial density function associated to holomorphic section of a postive line bundle vanishing to high orders along a fixed smooth subvariety. Assumin…
Projective embedding of stably degenerating sequence of hyperbolic Riemann surfaces
Jingzhou Sun
Given a sequence of genus curves converging to a punctured Riemann surface with complete metric of constant Gaussian curvature . we prove that the Kodaira embedding u…
Logarithmic Bergman kernel and Conditional expectation of Gaussian holomorphic fields
Jingzhou Sun
We prove the asymptotic of the logarithmic Bergman kernel. And as an application, we calculate the conditional expectation of density of zeros of Gaussian random sections of powers…
Closed-Form Whittle's Index-Enabled Random Access for Timely Status Update
Jingzhou Sun, Zhiyuan Jiang, Bhaskar Krishnamachari +2
We consider a star-topology wireless network for status update where a central node collects status data from a large number of distributed machine-type terminals that share a wire…
Optimizing Information Freshness in Broadcast Network with Unreliable Links and Random Arrivals: An Approximate Index Policy
Jingzhou Sun, Zhiyuan Jiang, Sheng Zhou +1
With the rapid growth of real-time Internet of Things (IoT) applications, the need for fresh information has surged. Age of Information (AoI) is a tailor-made metric to characteriz…
Projective embedding of pairs and logarithmic K-stability
Jingzhou Sun
Let be the projective completion of an ample line bundle over , a smooth projective manifold. Hwang-Singer \cite{HwangS} have constructed complete CSCK metric on $…
Estimations of the Bergman kernel of the punctured disk
Jingzhou Sun
Using the techniques developed in \cite{SunSun}, we give estimations of the Bergman kernel of the punctured disk with the standard complete Poincaré metric. As an application, we i…
Projective embedding of log Riemann surfaces and K-stability
Jingzhou Sun, Song Sun
Given a smooth polarized Riemann surface (X, L) endowed with a hyperbolic metric with cusp singularities along a divisor D, we show the L^2 projective embedding of (X, D) defin…
A new method in the Jacobian Conjecture
JIngzhou Sun
We introduce a new method in the attempt to prove the Jacobian conjecture. In the complex dimension 2 case, we apply this method to prove some new results related the Jacobian conj…
Critical Points of holomorphic sections of line bundles and a spherical Gauss-Lucas theorem
Jingzhou Sun
We study critical points of holomorphic sections of $\ocal(m)$ on $\CP^n$. For quadrics, we give a complete discription of their critical points. When , we prove a spherical G…
On the structure of Demailly-Semple invariant jet differentials
Jingzhou Sun
A short explanation of the complexity of the structure of Demailly-semple invariant jet differentials was given
On the Demailly-Semple jet bundles of hypersurfaces in $\CP^3$
Jingzhou Sun
Let be a smooth hypersurface of degree in $\CP^3$. By totally algebraic calculations, we prove that on the third Demailly-Semple jet bundle of , the bundle $\ocal_…
Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds
Jingzhou Sun
We prove a formula for the expected euler characteristic of excursion sets of random sections of powers of an ample bundle , where is a Hermitian metric, over a Kähler m…