| Publication | Date of Publication | Type |
|---|
| Analytic and Reidemeister torsions of digraphs and path complexes | 2024-04-04 | Paper |
| Asymptotic Behavior of the Heat Semigroup on Certain Riemannian Manifolds | 2024-03-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6151996 | 2024-03-11 | Paper |
| Hierarchical Schrödinger operators with singular potentials | 2024-03-07 | Paper |
| Volume growth and on-diagonal heat kernel bounds on Riemannian manifolds with an end | 2024-02-01 | Paper |
| Analysis on ultra-metric spaces via heat kernels | 2023-12-14 | Paper |
| Poincaré constant on manifolds with ends | 2023-09-20 | Paper |
| On homology theories of cubical digraphs | 2023-05-05 | Paper |
| Advances in path homology theory of digraphs | 2023-03-13 | Paper |
| Heat kernels and Besov spaces on metric measure spaces | 2022-12-29 | Paper |
| Analysis on fractal spaces and heat kernels | 2022-10-22 | Paper |
| Discrete tori and trigonometric sums | 2022-10-04 | Paper |
| Hierarchical Schrödinger Type Operators: The Case of Locally Bounded Potentials | 2021-12-08 | Paper |
| The pointwise existence and properties of heat kernel | 2021-10-29 | Paper |
| Analysis on manifolds and volume growth | 2021-10-29 | Paper |
| Geometric analysis on manifolds with ends | 2021-10-29 | Paper |
| Heat kernels and non-local Dirichlet forms on ultrametric spaces | 2021-07-20 | Paper |
| Homology of digraphs | 2021-07-08 | Paper |
| Hardy's inequality and Green function on metric measure spaces | 2021-04-29 | Paper |
| Pointwise estimates of solutions to nonlinear equations for nonlocal operators | 2021-03-29 | Paper |
| Torsion of digraphs and path complexes | 2020-12-14 | Paper |
| Path complexes and their homologies | 2020-09-30 | Paper |
| Analysis and stochastic processes on metric measure spaces | 2020-07-09 | Paper |
| Hierarchical Schr\"{o}dinger-type operators: the case of potentials with local singularities | 2020-06-02 | Paper |
| On the spectrum of the hierarchical Schr\"{o}dinger type operators | 2020-06-02 | Paper |
| Superlinear elliptic inequalities on manifolds | 2020-02-14 | Paper |
| Heat kernels and Besov spaces associated with second order divergence form elliptic operators | 2020-01-17 | Paper |
| On biparabolicity of Riemannian manifolds | 2019-12-18 | Paper |
| On positive solutions of semi-linear elliptic inequalities on Riemannian manifolds | 2019-11-21 | Paper |
| Homology of path complexes and hypergraphs | 2019-10-17 | Paper |
| Local and non-local Dirichlet forms on the Sierpiński carpet | 2019-09-26 | Paper |
| Pointwise estimates of solutions to semilinear elliptic equations and inequalities | 2019-06-28 | Paper |
| On the spectrum of the hierarchical Schr\"{o}dinger operator | 2018-11-13 | Paper |
| Determination of the walk dimension of the Sierpiński gasket without using diffusion | 2018-11-08 | Paper |
| Pointwise estimates for heat kernels of convolution-type operators | 2018-10-30 | Paper |
| Path homology theory of multigraphs and quivers | 2018-10-04 | Paper |
| Introduction to Analysis on Graphs | 2018-10-02 | Paper |
| On the path homology theory of digraphs and Eilenberg-Steenrod axioms | 2018-07-19 | Paper |
| Two-sided estimates of heat kernels of jump type Dirichlet forms | 2018-06-22 | Paper |
| Heat kernel estimates on connected sums of parabolic manifolds | 2018-04-25 | Paper |
| Fundamental groupoids of digraphs and graphs | 2018-04-18 | Paper |
| Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities | 2018-03-07 | Paper |
| Existence of positive solutions to some nonlinear equations on locally finite graphs | 2018-02-21 | Paper |
| Homologies of digraphs and Künneth formulas | 2018-01-09 | Paper |
| Point-wise estimates for nonlocal heat kernel of convolution type operators | 2017-07-20 | Paper |
| Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces | 2017-03-16 | Paper |
| On a cohomology of digraphs and Hochschild cohomology | 2017-01-18 | Paper |
| Kazdan-Warner equation on graph | 2017-01-03 | Paper |
| Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula | 2016-11-16 | Paper |
| On a class of random perturbations of the hierarchical Laplacian | 2016-11-11 | Paper |
| Yamabe type equations on graphs | 2016-09-05 | Paper |
| A lower bound for the number of negative eigenvalues of Schrödinger operators | 2016-04-21 | Paper |
| Cohomology of digraphs and (undirected) graphs | 2016-01-22 | Paper |
| Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces | 2016-01-12 | Paper |
| Surgery of the Faber-Krahn inequality and applications to heat kernel bounds | 2015-12-17 | Paper |
| Heat kernel and Lipschitz-Besov spaces | 2015-11-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5500296 | 2015-08-05 | Paper |
| Negative eigenvalues of two-dimensional Schrödinger operators | 2015-07-20 | Paper |
| Heat Kernels on Metric Measure Spaces | 2015-07-08 | Paper |
| Stochastic Completeness of Jump Processes on Metric Measure Spaces | 2015-07-08 | Paper |
| Parabolicity and stochastic completeness of manifolds in terms of the Green formula | 2015-06-23 | Paper |
| Homotopy theory for digraphs | 2015-05-11 | Paper |
| Isotropic Markov semigroups on ultra-metric spaces | 2014-12-17 | Paper |
| Estimates of heat kernels for non-local regular Dirichlet forms | 2014-11-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3190967 | 2014-09-19 | Paper |
| Graphs associated with simplicial complexes | 2014-09-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2876651 | 2014-08-19 | Paper |
| On Nonnegative Solutions of the Inequality Δ u + uσ ≤ 0 on Riemannian Manifolds | 2014-08-07 | Paper |
| Heat Kernels and Green Functions on Metric Measure Spaces | 2014-06-06 | Paper |
| On the equivalence of parabolic Harnack inequalities and heat kernel estimates | 2013-01-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4647937 | 2012-11-08 | Paper |
| Hardy Inequality and Heat Semigroup Estimates for Riemannian Manifolds with Singular Data | 2012-08-14 | Paper |
| On stochastic completeness of jump processes | 2012-08-13 | Paper |
| On a class of Markov semigroups on discrete ultra-metric spaces | 2012-07-31 | Paper |
| Homologies of path complexes and digraphs | 2012-07-11 | Paper |
| Two-sided estimates of heat kernels on metric measure spaces | 2012-06-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3062378 | 2011-01-03 | Paper |
| Comparison inequalities for heat semigroups and heat kernels on metric measure spaces | 2010-10-18 | Paper |
| On the Existence of Positive Solutions of Semilinear Elliptic Inequalities on Riemannian Manifolds | 2010-03-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3654101 | 2010-01-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3651067 | 2009-12-07 | Paper |
| Heat kernel on manifolds with ends | 2009-12-02 | Paper |
| Volume Growth and Escape Rate of Brownian Motion on a Cartan—Hadamard Manifold | 2009-05-13 | Paper |
| Heat kernel upper bounds for jump processes and the first exit time | 2009-02-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3545430 | 2008-12-10 | Paper |
| Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces | 2008-09-15 | Paper |
| Lower estimates for a perturbed Green function | 2008-09-03 | Paper |
| Obtaining upper bounds of heat kernels from lower bounds | 2008-03-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5757104 | 2007-08-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5484092 | 2006-08-24 | Paper |
| Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces | 2006-08-14 | Paper |
| The discrete integral maximum principle and its applications | 2006-07-05 | Paper |
| On isoperimetric profiles of product spaces | 2005-08-25 | Paper |
| Stability results for Harnack inequalities. | 2005-05-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3160535 | 2005-02-09 | Paper |
| Isoperimetric properties of higher eigenvalues of elliptic operators | 2004-03-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4453424 | 2004-03-07 | Paper |
| Hitting probabilities for Brownian motion on Riemannian manifolds. | 2003-09-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4427632 | 2003-09-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4408045 | 2003-07-03 | Paper |
| Recurrence and transience of branching diffusion processes on Riemannian manifolds | 2003-05-06 | Paper |
| Harnack inequalities and sub-Gaussian estimates for random walks | 2003-03-27 | Paper |
| Heat kernels on metric measure spaces and an application to semilinear elliptic equations | 2003-02-19 | Paper |
| Dirichlet heat kernel in the exterior of a compact set | 2003-01-28 | Paper |
| Manifolds and graphs with slow heat kernel decay | 2003-01-13 | Paper |
| Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs | 2002-12-09 | Paper |
| Sub-Gaussian estimates of heat kernels on infinite graphs | 2002-10-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4702584 | 2002-05-18 | Paper |
| A geometric approach to on-diagonal heat kernel lower bounds on groups. | 2002-02-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4249501 | 2001-12-27 | Paper |
| Asymptotic separation for independent trajectories of Markov processes | 2001-11-23 | Paper |
| On Hardy-Littlewood Inequality for Brownian Motion on Riemannian Manifolds | 2000-12-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4934602 | 2000-10-23 | Paper |
| Heat kernel on connected sums of Riemannian manifolds | 2000-08-13 | Paper |
| Escape rate of brownian motion on riemanian manifolds | 2000-06-25 | Paper |
| Range of fluctuation of Brownian motion on a complete Riemannian manifold | 2000-04-10 | Paper |
| A Liouville property for Schrödinger operators | 1999-10-17 | Paper |
| On-diagonal lower bounds for heat kernels and Markov chains | 1999-09-10 | Paper |
| Random walks on graphs with regular volume growth | 1999-08-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4220735 | 1999-05-18 | Paper |
| Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds | 1999-03-22 | Paper |
| The Heat Kernel on Hyperbolic Space | 1998-08-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4358742 | 1998-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4332831 | 1998-05-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5690771 | 1997-09-28 | Paper |
| Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds | 1997-06-11 | Paper |
| Heat kernel on a manifold with a local Harnack inequality | 1996-09-16 | Paper |
| Upper bounds for eigenvalues of the discrete and continuous Laplace operators | 1996-03-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4839098 | 1996-01-22 | Paper |
| Upper bounds of derivatives of the heat kernel on an arbitrary complete manifold | 1995-06-14 | Paper |
| Heat kernel upper bounds on a complete non-compact manifold | 1994-10-26 | Paper |
| Integral maximum principle and its applications | 1994-08-25 | Paper |
| THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS | 1993-09-22 | Paper |
| Bounded solutions of the Schrödinger equation on noncompact Riemannian manifolds | 1992-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3971722 | 1992-06-25 | Paper |
| Dimension of spaces of harmonic functions | 1990-01-01 | Paper |
| STOCHASTICALLY COMPLETE MANIFOLDS AND SUMMABLE HARMONIC FUNCTIONS | 1989-01-01 | Paper |
| ON LIOUVILLE THEOREMS FOR HARMONIC FUNCTIONS WITH FINITE DIRICHLET INTEGRAL | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3810636 | 1988-01-01 | Paper |
| Fundamental solution of the heat equation on an arbitrary Riemannian manifold | 1987-01-01 | Paper |
| ON THE EXISTENCE OF POSITIVE FUNDAMENTAL SOLUTIONS OF THE LAPLACE EQUATION ON RIEMANNIAN MANIFOLDS | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3769668 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3780159 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3780160 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3786717 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3789868 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3816757 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3816759 | 1987-01-01 | Paper |
| Isoperimetric inequalities for Riemannian products | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3728351 | 1985-01-01 | Paper |
| On the existence of a Green's function on a manifold | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4747184 | 1982-01-01 | Paper |
| A Liouville theorem on a manifold | 1982-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3697846 | 1982-01-01 | Paper |
| On the connection between the orders of convergence to \(+\infty\) and \(- \infty\) of solutions of homogeneous second-order elliptic equations in unbounded domains | 1979-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3050822 | 1979-01-01 | Paper |
