Wilhelm Stannat

1.2k total citations
56 papers, 682 citations indexed

About

Wilhelm Stannat is a scholar working on Finance, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Wilhelm Stannat has authored 56 papers receiving a total of 682 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Finance, 17 papers in Mathematical Physics and 15 papers in Applied Mathematics. Recurrent topics in Wilhelm Stannat's work include Stochastic processes and financial applications (20 papers), Advanced Mathematical Modeling in Engineering (13 papers) and Spectral Theory in Mathematical Physics (7 papers). Wilhelm Stannat is often cited by papers focused on Stochastic processes and financial applications (20 papers), Advanced Mathematical Modeling in Engineering (13 papers) and Spectral Theory in Mathematical Physics (7 papers). Wilhelm Stannat collaborates with scholars based in Germany, United States and Iran. Wilhelm Stannat's co-authors include В. И. Богачев, Michael Röckner, Klaus Obermayer, Yun Shen, Giuseppe Da Prato, Peter K. Friz, Benjamin Lindner, Michael Scheutzow, Alejandro Buchmann and Wesley W. Terpstra and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and Mathematics of Computation.

In The Last Decade

Wilhelm Stannat

55 papers receiving 609 citations

Peers

Wilhelm Stannat
Huaizhong Zhao United Kingdom
M. Cranston United States
Elton P. Hsu United States
Mark Veraar Netherlands
Wilhelm Stannat
Citations per year, relative to Wilhelm Stannat Wilhelm Stannat (= 1×) peers S. R. Srinivasa Varadhan

Countries citing papers authored by Wilhelm Stannat

Since Specialization
Citations

This map shows the geographic impact of Wilhelm Stannat's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Wilhelm Stannat with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Wilhelm Stannat more than expected).

Fields of papers citing papers by Wilhelm Stannat

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Wilhelm Stannat. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Wilhelm Stannat. The network helps show where Wilhelm Stannat may publish in the future.

Co-authorship network of co-authors of Wilhelm Stannat

This figure shows the co-authorship network connecting the top 25 collaborators of Wilhelm Stannat. A scholar is included among the top collaborators of Wilhelm Stannat based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Wilhelm Stannat. Wilhelm Stannat is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Stannat, Wilhelm, et al.. (2023). Stability and moment estimates for the stochastic singular Φ-Laplace equation. Journal of Differential Equations. 377. 663–693.
2.
Pathiraja, Sahani & Wilhelm Stannat. (2021). Analysis of the feedback particle filter with diffusion map based approximation of the gain. arXiv (Cornell University). 3 indexed citations
3.
Stannat, Wilhelm, et al.. (2019). Generalized Burgers equation with rough transport noise. Stochastic Processes and their Applications. 130(4). 2159–2184. 8 indexed citations
4.
Friz, Peter K., et al.. (2019). Existence, uniqueness and stability of semi-linear rough partial differential equations. Journal of Differential Equations. 268(4). 1686–1721. 5 indexed citations
5.
Scheutzow, Michael, et al.. (2018). Propagation of Chaos for Stochastic Spatially Structured Neuronal Networks with Fully Path Dependent Delays and Monotone Coefficients driven by Jump Diffusion Noise. arXiv (Cornell University). 1 indexed citations
6.
Stannat, Wilhelm, et al.. (2017). A multiscale-analysis of stochastic bistable reaction–diffusion equations. Nonlinear Analysis. 162. 197–223. 12 indexed citations
7.
Stannat, Wilhelm, et al.. (2017). Complete Mean-Field Theory for Dynamics of Binary Recurrent Networks. Physical Review Letters. 119(20). 208301–208301. 8 indexed citations
8.
Stannat, Wilhelm, et al.. (2017). Finite-Size Effects on Traveling Wave Solutions to Neural Field Equations. SHILAP Revista de lepidopterología. 7(1). 5–5. 3 indexed citations
9.
Sauer, Martin & Wilhelm Stannat. (2016). Reliability of signal transmission in stochastic nerve axon equations. Journal of Computational Neuroscience. 40(1). 103–111. 5 indexed citations
10.
Stannat, Wilhelm, et al.. (2016). L2-stability of traveling wave solutions to nonlocal evolution equations. Journal of Differential Equations. 261(8). 4275–4297. 10 indexed citations
12.
Shen, Yun, Wilhelm Stannat, & Klaus Obermayer. (2014). Risk-sensitive Markov Control Processes with Strictly Convex Risk Maps. arXiv (Cornell University). 1 indexed citations
13.
Stannat, Wilhelm, et al.. (2014). Mean field limit for disordered diffusions with singular interactions. The Annals of Applied Probability. 24(5). 29 indexed citations
14.
Stannat, Wilhelm, et al.. (2009). Maximal dissipativity of Kolmogorov operators with Cahn–Hilliard type drift term. Journal of Differential Equations. 247(2). 424–446. 5 indexed citations
15.
Stannat, Wilhelm, et al.. (2008). The logarithmic Sobolev inequality for the Wasserstein diffusion. Probability Theory and Related Fields. 145(1-2). 189–209. 11 indexed citations
16.
Stannat, Wilhelm. (2003). Spectral properties for a class of continuous state branching processes with immigration. Journal of Functional Analysis. 201(1). 185–227. 12 indexed citations
17.
Stannat, Wilhelm. (1999). (Nonsymmetric) Dirichlet operators on $L^1$ : existence, uniqueness and associated Markov processes. French digital mathematics library (Numdam). 28(1). 99–140. 87 indexed citations
18.
Stannat, Wilhelm. (1999). The theory of generalized Dirichlet forms and its applications in analysis and stochastics. Memoirs of the American Mathematical Society. 142(678). 0–0. 60 indexed citations
19.
Stannat, Wilhelm. (1996). First Order Perturbations of Dirichlet Operators: Existence and Uniqueness. Journal of Functional Analysis. 141(1). 216–248. 6 indexed citations
20.
Stannat, Wilhelm. (1994). Generalized Dirichlet forms and associated Markov processes. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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