Longjie Xie

Finance · 2014–2020

A researcher in the Science corpus: 6 papers; trusts 32 researchers and is trusted by 5 researchers here, as inferred from the citation graph.

Subfields

• Finance — 50 citations into it; #5,700 of 10,518 by trust here, #6,671 by citations
• Computational Theory and Mathematics — 47 citations into it; #11,388 of 12,182 by trust here, #8,756 by citations
• Applied Mathematics — 41 citations into it; #4,168 of 7,620 by trust here, #3,258 by citations
• Mathematical Physics — 19 citations into it; #7,612 of 8,562 by trust here, #7,868 by citations
• Control and Systems Engineering — 18 citations into it
• Computational Mechanics — 14 citations into it
• Numerical Analysis — 9 citations into it
• Statistics and Probability — 6 citations into it

Whom Longjie Xie trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Xicheng Zhang
2. Franco Flandoli
3. Enrico Priola
4. Nicolai V. Krylov
5. Giuseppe Da Prato
6. Luigi Ambrosio
7. Michael Röckner
8. Gianluca Crippa
9. E. Fedrizzi
10. Olivier Menoukeu-Pamen

Who trusts Longjie Xie overall

1. Xicheng Zhang
2. Xing Huang
3. Michael Röckner
4. Pengcheng Xia
5. István Gyöngy
6. Feng-Yu Wang

Papers from Longjie Xie's perspective

Ordered by how strongly the researchers Longjie Xie trusts endorse each paper. Same corpus, a different order for every researcher.

1. Transport equation and Cauchy problem for BV vector fields
2. Strong solutions of stochastic equations with singular time dependent drift
3. Pathwise uniqueness for singular SDEs driven by stable processes
4. Noise Prevents Singularities in Linear Transport Equations
5. Hölder Flow and Differentiability for SDEs with Nonregular Drift
6. Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
7. ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
8. Well-posedness of the transport equation by stochastic perturbation
9. Second Order Pde's in Finite and Infinite Dimension: A Probabilistic Approach
10. A Concise Course on Stochastic Partial Differential Equations

Their papers

• Sobolev differentiable flows of SDEs with local Sobolev and super-linear growth coefficients (2014) — 48 citations
• Lq(Lp)-theory of stochastic differential equations (2020) — 62 citations
• Diffusion approximation for fully coupled stochastic differential equations (2020) — 58 citations
• $L^q(L^p)$-theory of stochastic differential equations (2019) — 76 citations
• Ergodicity of stochastic differential equations with jumps and singular coefficients (2017) — 130 citations
• Heat kernels for non-symmetric diffusion operators with jumps (2016) — 72 citations