Carl Mueller

2.2k total citations
66 papers, 1.2k citations indexed

About

Carl Mueller is a scholar working on Mathematical Physics, Finance and Computational Theory and Mathematics. According to data from OpenAlex, Carl Mueller has authored 66 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Mathematical Physics, 39 papers in Finance and 23 papers in Computational Theory and Mathematics. Recurrent topics in Carl Mueller's work include Stochastic processes and financial applications (38 papers), Stochastic processes and statistical mechanics (27 papers) and Advanced Mathematical Modeling in Engineering (23 papers). Carl Mueller is often cited by papers focused on Stochastic processes and financial applications (38 papers), Stochastic processes and statistical mechanics (27 papers) and Advanced Mathematical Modeling in Engineering (23 papers). Carl Mueller collaborates with scholars based in United States, United Kingdom and Switzerland. Carl Mueller's co-authors include Robert C. Dalang, Fred B. Weissler, Roger Tribe, Richard B. Sowers, Peter Smereka, Edwin Perkins, Charles R. Doering, Leonid Mytnik, Yimin Xiao and Davar Khoshnevisan and has published in prestigious journals such as Lecture notes in mathematics, Physica A Statistical Mechanics and its Applications and Transactions of the American Mathematical Society.

In The Last Decade

Carl Mueller

62 papers receiving 1.1k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Carl Mueller United States 22 682 641 318 220 189 66 1.2k
Tadahisa Funaki Japan 17 384 0.6× 542 0.8× 235 0.7× 234 1.1× 113 0.6× 54 1.0k
Jaime San Martı́n Chile 18 692 1.0× 455 0.7× 245 0.8× 216 1.0× 129 0.7× 84 1.4k
Edwin Perkins Canada 27 820 1.2× 1.4k 2.3× 319 1.0× 233 1.1× 91 0.5× 81 2.0k
K. D. Elworthy United Kingdom 16 504 0.7× 527 0.8× 283 0.9× 572 2.6× 178 0.9× 43 1.3k
Aubrey Truman United Kingdom 17 329 0.5× 447 0.7× 237 0.7× 376 1.7× 255 1.3× 61 1.2k
Ross G. Pinsky Israel 13 229 0.3× 482 0.8× 278 0.9× 342 1.6× 125 0.7× 67 852
S. R. Srinivasa Varadhan United States 2 582 0.9× 365 0.6× 207 0.7× 232 1.1× 98 0.5× 2 1.0k
Yuri Kifer Israel 23 392 0.6× 1.1k 1.6× 250 0.8× 148 0.7× 144 0.8× 90 1.7k
Krzysztof Burdzy United States 23 580 0.9× 960 1.5× 488 1.5× 505 2.3× 56 0.3× 127 1.7k
D. W. Stroock United States 22 475 0.7× 941 1.5× 524 1.6× 774 3.5× 134 0.7× 35 1.8k

Countries citing papers authored by Carl Mueller

Since Specialization
Citations

This map shows the geographic impact of Carl Mueller'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 Carl Mueller with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Carl Mueller more than expected).

Fields of papers citing papers by Carl Mueller

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Carl Mueller. 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 Carl Mueller. The network helps show where Carl Mueller may publish in the future.

Co-authorship network of co-authors of Carl Mueller

This figure shows the co-authorship network connecting the top 25 collaborators of Carl Mueller. A scholar is included among the top collaborators of Carl Mueller 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 Carl Mueller. Carl Mueller 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.
Khoshnevisan, Davar, Kunwoo Kim, & Carl Mueller. (2024). Small-ball constants, and exceptional flat points of SPDEs. Electronic Journal of Probability. 29(none). 1 indexed citations
2.
Khoshnevisan, Davar, et al.. (2023). Phase analysis for a family of stochastic reaction-diffusion equations. Electronic Journal of Probability. 28(none).
3.
Khoshnevisan, Davar, et al.. (2017). Strong invariance and noise-comparison principles for some parabolic stochastic PDEs. The Annals of Probability. 45(1). 8 indexed citations
4.
Mueller, Carl, Leonid Mytnik, & Edwin Perkins. (2017). On the boundary of the support of super-Brownian motion. The Annals of Probability. 45(6A). 5 indexed citations
5.
Mueller, Carl, et al.. (2011). The Length of the Longest Increasing Subsequence of a Random Mallows Permutation. Journal of Theoretical Probability. 26(2). 514–540. 21 indexed citations
6.
Kim, Kunwoo, Carl Mueller, & Richard B. Sowers. (2010). A stochastic moving boundary value problem. Illinois Journal of Mathematics. 54(3). 3 indexed citations
7.
Mueller, Carl, Leonid Mytnik, & Jeremy Quastel. (2010). Effect of noise on front propagation in reaction-diffusion equations of KPP type. Inventiones mathematicae. 184(2). 405–453. 47 indexed citations
8.
Bakhtin, Yuri & Carl Mueller. (2010). Solutions of semilinear wave equation via stochastic cascades. Communications on Stochastic Analysis. 4(3). 1 indexed citations
9.
Burdzy, Krzysztof, Carl Mueller, & Edwin Perkins. (2010). Nonuniqueness for nonnegative solutions of parabolic stochastic partial differential equations. Illinois Journal of Mathematics. 54(4). 17 indexed citations
10.
Dalang, Robert C., Carl Mueller, & Roger Tribe. (2008). A Feynman-Kac-type formula for the deterministic and stochastic wave equations and other p.d.e.’s. Transactions of the American Mathematical Society. 360(9). 4681–4703. 23 indexed citations
11.
Dalang, Robert C., Davar Khoshnevisan, Carl Mueller, et al.. (2008). A Minicourse on Stochastic Partial Differential Equations. Lecture notes in mathematics. 116 indexed citations
12.
Fleischmann, Klaus, et al.. (2007). The large scale behavior of super-Brownian motion in three dimensions with a single point source. Communications on Stochastic Analysis. 1(1). 2 indexed citations
13.
Mueller, Carl, et al.. (2005). The heat equation with time-independent multiplicative stable Lévy noise. Stochastic Processes and their Applications. 116(1). 70–100. 8 indexed citations
14.
Dalang, Robert C., Carl Mueller, & Lorenzo Zambotti. (2004). Hitting properties of s.p.d.e.'s with reflection. arXiv (Cornell University). 1 indexed citations
15.
Dalang, Robert C. & Carl Mueller. (2003). Some Non-Linear S.P.D.E's That Are Second Order In Time. Electronic Journal of Probability. 8(none). 42 indexed citations
16.
Mueller, Carl & Richard B. Sowers. (1995). Random Travelling Waves for the KPP Equation with Noise. Journal of Functional Analysis. 128(2). 439–498. 54 indexed citations
17.
Mueller, Carl. (1993). Coupling and Invariant Measures for the Heat Equation with Noise. The Annals of Probability. 21(4). 29 indexed citations
18.
Mueller, Carl & Edwin Perkins. (1992). The compact support property for solutions to the heat equation with noise. Probability Theory and Related Fields. 93(3). 325–358. 31 indexed citations
19.
Mueller, Carl & Fred B. Weissler. (1984). Single Point Blow-up for a General Semilinear Heat Equation. Indiana University Mathematics Journal. 34(4). 881–913. 44 indexed citations
20.
Mueller, Carl & Fred B. Weissler. (1982). Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Journal of Functional Analysis. 48(2). 252–283. 49 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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2026