World's Best Scientists 2026 revealed!
René L. Schilling

René L. Schilling

D-Index & Metrics

Mathematics

D-Index
38
Citations
5561
World Ranking
2367
National Ranking
145

Overview

René L. Schilling is affiliated with TU Dresden in Germany and has a robust research profile primarily rooted in mathematics and finance. Their scholarly output spans several interconnected fields including mathematics, economics, econometrics, and finance, with a notable concentration on stochastic processes and financial applications.

Their recent papers illustrate engagement with advanced topics across probability theory, stochastic processes, and non-local operators. Selected publications include:

  • Construction and heat kernel estimates of general stable-like Markov processes, 2021, Dissertationes Mathematicae
  • Approximation of the invariant measure of stable SDEs by an Euler-Maruyama scheme, 2023, Stochastic Processes and their Applications
  • Maximal inequalities and some applications, 2023, Probability Surveys
  • On the Liouville and strong Liouville properties for a class of non-local operators, 2022, MATHEMATICA SCANDINAVICA
  • Asymptotic behaviour and functional limit theorems for a time changed Wiener process, 2020, Statistics & Probability Letters

René L. Schilling frequently collaborates with several researchers including Franziska Kühn, David Berger, Chang-Song Deng, Lihu Xu, and Yuliya Mishura. These collaborations point to active participation in research networks focusing on related mathematical and probabilistic disciplines.

The scholar's work has been published extensively in venues such as arXiv (Cornell University), The Mathematical Gazette, Stochastic Processes and their Applications, Dissertationes Mathematicae, and Probability Surveys. The distribution of publication venues highlights a commitment to disseminating research through both open-access platforms and peer-reviewed journals.

One notable book publication is "Counterexamples in Measure and Integration," published by Cambridge University Press in 2021. This contribution adds a dimension of academic authorship beyond journal articles, reflecting engagement with foundational mathematical concepts.

René L. Schilling's main fields of study focus on:

  • Mathematics
  • Economics, Econometrics and Finance

More specialized subfields include:

  • Finance
  • Mathematical Physics
  • Applied Mathematics
  • Management Science and Operations Research
  • Economics and Econometrics

Core research topics encompass:

  • Stochastic processes and financial applications
  • Financial Risk and Volatility Modeling
  • Stochastic processes and statistical mechanics
  • Probability and Risk Models
  • Advanced mathematical theories
  • Advanced Mathematical Modeling in Engineering
  • Advanced Harmonic Analysis Research

No awards are listed for René L. Schilling to date. Overall, their academic output illustrates a focus on mathematical theories with applications in finance and probability, involving both theoretical investigations and applied modeling frameworks.

Best Publications

  • Bernstein Functions: Theory and Applications

    René L. Schilling;Renming Song;Zoran Vondracek

  • Measures, Integrals and Martingales

    René L. Schilling

  • Lévy Matters III

    Björn Böttcher;René Schilling;Jian Wang

  • Growth and Hölder conditions for the sample paths of Feller processes

    René L. Schilling

  • Brownian Motion: An Introduction to Stochastic Processes

    René L Schilling;Lothar Partzsch;Björn Böttcher

  • Levy-Type Processes and Pseudodifferential Operators

    Niels Jacob;René L. Schilling

  • A note on the existence of transition probability densities of Lévy processes

    Victoria Knopova;René L. Schilling

  • Conservativeness and Extensions of Feller Semigroups

    René L. Schilling

  • Financial Modelling with Jump Processes

    René L. Schilling

  • Stochastic calculus for uncoupled continuous-time random walks

    Guido Germano;Mauro Politi;Enrico Scalas;Ren 'e L. Schilling

  • The Symbol Associated with the Solution of a Stochastic Differential Equation

    Rene L. Schilling;Alexander Schnurr

  • SUBORDINATION IN THE SENSE OF BOCHNER AND A RELATED FUNCTIONAL CALCULUS

    René L. Schilling

  • Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces

    Walter Farkas;Niels Jacob;René L. Schilling

  • Weak order for the discretization of the stochastic heat equation driven by impulsive noise.

    Felix Lindner;René L. Schilling

  • Lévy-type processes : construction, approximation and sample path properties

    Björn Böttcher;René L Schilling

  • Coupling property and gradient estimates of Lévy processes via the symbol

    René L. Schilling;Paweł Sztonyk;Jian Wang

  • Correlation Structure of Time-Changed Lévy Processes

    Nikolai N Leonenko;Mark M Meerschaert;René L Schilling;Alla Sikorskii

  • Coupling property and gradient estimates of L'{e}vy processes via the symbol

    René L. Schilling;Paweł Sztonyk;Jian Wang

  • Some theorems on Feller processes: transience, local times and ultracontractivity

    René L. Schilling;Jian Wang

  • Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains

    Petru A. Cioica;Stephan Dahlke;Stefan Kinzel;Felix Lindner

  • Real analysis. Measure theory, integration and Hilbert spaces , by Elias M. Stein and Rami Shakarchi. Pp.402. £38.95. 2005. ISBN 0 691 11386 6 (Princeton University Press).

    René L. Schilling

Frequent Co-Authors

Renming Song
Renming Song University of Illinois at Urbana-Champaign
Stephan Dahlke
Stephan Dahlke Philipp University of Marburg
Emilio Porcu
Emilio Porcu Khalifa University
Mark M. Meerschaert
Mark M. Meerschaert Michigan State University
Krzysztof Burdzy
Krzysztof Burdzy University of Washington
Boris Baeumer
Boris Baeumer University of Otago
Davar Khoshnevisan
Davar Khoshnevisan University of Utah
Eckehard Steinbach
Eckehard Steinbach Technical University of Munich

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