Preprint Search

Semipolar sets and intrinsic Hausdorff measure

Project: A3

Published: Potential Analysis 51 (2019), 49–69

On biparabolicity of Riemannian manifolds

Project: A3

Published: Revista Matemática Iberoamericana 35 (2019), 2025–2034

Construction of Local Regular Dirichlet Form on the Sierpiński Gasket using Γ-Convergence

Project: A3

Local and non-local Dirichlet forms on the Sierpiński carpet

Project: A3

Published: Trans. Amer. Math. Soc. 372 (2019), 3985–4030

Determination of the Walk Dimension of the Sierpiński Gasket Without Using Diffusion

Project: A3

Published: Journal of Fractal Geometry 5 (2018), 419–460

Nearly hyperharmonic functions are infima of excessive functions

Project: A3

Published: Journal of Theoretical Probability 33 (2020), 1613–1629

Two-sided estimates of heat kernels of jump type Dirichlet forms

Project: A3

Published: Advances in Mathematics 330 (2018), 433–515

Pointwise estimates for heat kernels of convolution-type operators

Project: A3

Published: Proceedings of the London Mathematical Society 117 (2018), 849–880

Heat kernel estimates on connected sums of parabolic manifolds

Project: A3

Published: Journal de Mathématiques Pures et Appliquées 113 (2018), 155–194

Path homology theory of multigraphs and quivers

Project: A3

Published: Forum Mathematicum 30 (2018), 1319–1337

Equicontinuity of harmonic functions and compactness of potential kernels

Project: A3

Published: Revue Roumaine de Mathématique Pures et Appliquées 66 (2021), 179–189

$H^{s,p}$ regularity theory for a class of nonlocal elliptic equations

Project: A3

Published: Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 195, no. 111730 (2020), 28

$H^{s,p}$ regularity theory for a class of nonlocal elliptic equations

Project: A3

Published: Nonlinear Analysis 195 (2020), 111730: 1–28

Heat kernels and non-local Dirichlet forms on ultra-metric spaces

Project: A3

To appear: Ann. Scuola Norm. Sup. Pisa Cl. Sci. (2020)

On positive solutions of semi-linear elliptic inequalities on Riemannian manifolds

Project: A3

Published: Calculus of Variations and Partial Differential Equations 58 (2019), 207: 1–30

Pointwise estimates of solutions to nonlinear equations for nonlocal operators

Project: A3

Published: Ann. Scuola Norm. Sup. Pisa Cl. Sci. 20, no. 2 (2020), 721–750

Metrics and uniform Harnack inequality on the Strichartz hexacarpet

Project: A3

Published: Analysis and partial differential equations on manifolds, fractals and graphs (2021), 275–296

On the domains of Dirichlet forms on metric measure spaces

Project: A3

Published: Mathematische Zeitschrift 301 (2022), 2129–2154

Heat kernels and Besov spaces on metric measure space

Project: A3

Published: Journal d'Analyse Mathématique 148 (2022), 637–680

Cubical and path homology theories for digraphs

Project: A3

Published: Mathematical Notes 109 (2021), 712–726

Superlinear elliptic inequalities on manifolds

Project: A3

Published: Journal of Functional Analysis 278, no. 9 (2020), 108444 34p.

Heat kernels and Besov spaces associated with second order divergence form elliptic operators

Project: A3

Published: Journal of Fourier Analysis and Applications 26 (2020), 3: 1–52

Homology of path complexes and hypergraphs

Project: A3

Published: Topology Appl. 267 (2019), 106877: 1–26

On Evans' and Choquet's theorems for polar sets

Project: A3

Published: Potential Analysis 56 (2022), 423–435

Higher Hölder regularity for nonlocal equations with irregular kernel

Project: A3

Published: Calculus of Variations and Partial Differential Equations 60 (2021), article number 24

The pointwise existence and properties of heat kernel

Project: A3

Published: Advances in Analysis and Geometry 3 (2021), 27–70

Hardy’s inequality and Green function on metric measure spaces

Project: A3

Published: Journal of Functional Analysis 281 (2021), Art. 109020

Hierarchical Schrödinger type operators: the case of locally bounded potentials

Project: A3

Published: Springer Proceedings in Mathematics & Statistics 358 (2021), 43–89

Hierarchical Schrödinger type operators: the case of potentials with local singularities

Project: A3

Analysis on manifolds and volume growth

Project: A3

Published: Advances in Analysis and Geometry 3 (2021), 299–324

Random walks and induced Dirichlet forms on compact spaces of homogeneous type

Project: A3

Published: Analysis, Probability and Mathematical Physics on Fractals, eds. P. A. Ruiz et al., World Scientific, Singapore (2020), 273–296

Gromov hyperbolic graphs arising from iterations

Project: A3

Hyperbolic graphs induced by iterations and applications in fractals

Project: A3

Higher integrability for nonlinear nonlocal equations with irregular kernel

Project: A3, A7

Published: Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs (2021), 459−492

On homology theories of cubical digraphs

Project: A3

Published: Pacific J. Math. 322 (2023), 39–58

Geometric analysis on manifolds with ends

Project: A3

Published: Advances in Analysis and Geometry 3 (2021), 325–344

Torsion of digraphs and path complexes

Project: A3

Published: Pure and Pure Appl. Math. Q. 20 (2024), 703–755

Near-isometries of hyperbolic graphs and bi-Lipschitz embeddings of their boundaries

Project: A3

Regularity theory for nonlocal equations with VMO coefficients

Project: A3

Improved Sobolev regularity for linear nonlocal equations with VMO coefficients

Project: A3, A7

Published: Mathematische Annalen 385 (2023), 1323–1378

Heat kernels and non-local Dirichlet forms on ultrametric spaces

Project: A3

Published: Ann. Scuola Norm. Sup. Pisa Cl. Sci. 22, no. 1 (2021), 399–461

Analysis on fractal spaces and heat kernels

Project: A3

Published: Springer Proceedings in Mathematics & Statistics 394 (2022), 143–159

Volume growth and on-diagonal heat kernel bounds on Riemannian manifolds with an end

Project: A3

Published: Potential Analysis 60 (2022), 45–77

Asymptotic behaviour of the heat semigroup on certain Riemannian manifolds

Project: A3

Published: From Classical Analysis to Analysis on Fractals 1 (2023), 165–179

Poincaré constant on manifolds with ends

Project: A3

Published: Proceedings of the London Mathematical Society 126 (2023), 1961–2012

Discrete tori and trigonometric sums

Project: A3

Published: Journal of Geometric Analysis 32 (2022), Article number 298

Mean value inequality and generalized capacity on doubling spaces

Project: A3

Published: Pure and Applied Functional Analysis 9 (2024), 111–168

Advances in path homology theory of digraphs

Project: A3

Published: Notices of the ICCM 10 (2022), 61–124

Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces

Project: A3

Published: Mathematische Annalen 389 (2024), 2411–2467

Off-diagonal lower estimates and Hölder regularity of the heat kernel

Project: A3

Published: Asian Journal of Mathematics 27 (2023), 675–770

Finite propagation speed for Leibenson’s equation on Riemannian manifolds

Project: A3

Published: Communications in Analysis and Geometry 32 (2024), 2467–2504

Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds

Project: A3

Published: Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 249 (2024), Article number 113641

Analysis on ultra-metric spaces via heat kernels

Project: A3

Published: p-Adic Numbers, Ultrametric Analysis and Applications 15 (2023), 204–242

Tail estimates and off-diagonal upper bounds of the heat kernel

Project: A3

$L^p$-parabolicity of Riemannian manifolds

Project: A3

Eigenvalues of the Hodge Laplacian on digraphs

Project: A3

Upper bounds for solutions of Leibenson’s equation on Riemannian manifolds

Project: A3

To appear: Journal of Functional Analysis (2025)

Sharp propagation rate for solutions of Leibenson's equation on Riemannian manifolds

Project: A3