11 citations · 26 across the 8 of their papers we have counts for
8 papers
Heegaard Floer Symplectic homology and Viterbo's isomorphism theorem in the context of multiple particles
Roman Krutowski, Tianyu Yuan
Given a Liouville manifold , we introduce an invariant of that we call the Heegaard Floer symplectic cohomology for any that coincides with the symplect…
Folded Morse flow trees
Tianyu Yuan
We present an approach to Morse theory on symmetric products of surfaces using the notion of folded ribbon trees. We introduce an -category with objects defined as -tu…
The effect of loops on the mean square displacement of Rouse-model chromatin
Tianyu Yuan, Hao Yan, Mary Lou P. Bailey +4
Many researchers have been encouraged to describe the dynamics of chromosomal loci in chromatin using the classical Rouse model of polymer dynamics by the agreement between the mea…
Diffusion of microstructured anisotropic particles in an external field
Tianyu Yuan, Liping Liu, Jianxiang Wang
Microstructured particles are widely used in industries and state-of-the-art research and development. Diffusion of particles, particularly, controlled diffusion by a remotely appl…
A constrained proof of the strong version of the Eshelby conjecture for the three-dimensional isotropic medium
Tianyu Yuan, Kefu Huang, Jianxiang Wang
Eshelby's seminal work on the ellipsoidal inclusion problem leads to the conjecture that the ellipsoid is the only inclusion possessing the uniformity property that a uniform eigen…
Higher-dimensional Heegaard Floer homology and Hecke algebras
Ko Honda, Yin Tian, Tianyu Yuan
Given a closed oriented surface of genus greater than 0, we construct a map from the higher-dimensional Heegaard Floer homology of the cotangent fibers of …
Counter-examples to the high-order version and strong version of the generalized Eshelby conjecture for anisotropic media
Tianyu Yuan, Kefu Huang, Jianxiang Wang
In this work, we prove that in anisotropic media possessing cubic, transversely isotropic, orthotropic, and monoclinic symmetries, there exist non-ellipsoidal inclusions that can t…
Solutions to the generalized Eshelby conjecture for anisotropic media: Proofs of the weak version and counter-examples to the high-order and the strong versions
Tianyu Yuan, Kefu Huang, Jianxiang Wang
The Eshelby formalism for an inclusion in a solid is of significant theoretical and practical implications in mechanics and other fields of heterogeneous media. Eshelby's finding t…