Frank B. Knight

1.4k total citations
40 papers, 603 citations indexed

About

Frank B. Knight is a scholar working on Mathematical Physics, Finance and Statistics and Probability. According to data from OpenAlex, Frank B. Knight has authored 40 papers receiving a total of 603 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Mathematical Physics, 12 papers in Finance and 7 papers in Statistics and Probability. Recurrent topics in Frank B. Knight's work include Stochastic processes and financial applications (12 papers), Stochastic processes and statistical mechanics (12 papers) and advanced mathematical theories (4 papers). Frank B. Knight is often cited by papers focused on Stochastic processes and financial applications (12 papers), Stochastic processes and statistical mechanics (12 papers) and advanced mathematical theories (4 papers). Frank B. Knight collaborates with scholars based in United States and France. Frank B. Knight's co-authors include P. A. Meyer, B. Maisonneuve and A. O. Pittenger and has published in prestigious journals such as SIAM Review, Transactions of the American Mathematical Society and Bulletin of the American Mathematical Society.

In The Last Decade

Frank B. Knight

35 papers receiving 496 citations

Peers

Countries citing papers authored by Frank B. Knight

Since Specialization

Citations

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

Fields of papers citing papers by Frank B. Knight

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Frank B. Knight. 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 Frank B. Knight. The network helps show where Frank B. Knight may publish in the future.

Co-authorship network of co-authors of Frank B. Knight

This figure shows the co-authorship network connecting the top 25 collaborators of Frank B. Knight. A scholar is included among the top collaborators of Frank B. Knight 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 Frank B. Knight. Frank B. Knight is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	An interference problem with application to crystal growth 2004 ·Advances in Applied Probability ·Frank B. Knight, (unknown)	1
2	The moments of the area under reflected Brownian bridgeconditional on its local time at zero 1999 ·International Journal of Stochastic Analysis ·Frank B. Knight	7
3	Approximation of stopped Brownian local time by diadic crossing chains 1997 ·Stochastic Processes and their Applications ·Frank B. Knight	5
4	A Characterization of Stopping Times 1994 ·The Annals of Probability ·Frank B. Knight, B. Maisonneuve	7
5	Foundations of the Prediction Process 1992 ·Medical Entomology and Zoology ·Frank B. Knight	24
6	Essentials of Brownian Motion and Diffusion 1981 ·Mathematical surveys and monographs ·Frank B. Knight	156
7	Essays on the prediction process 1981 ·SPIE eBooks ·Frank B. Knight	3
8	On the excursion process of Brownian motion 1980 ·Transactions of the American Mathematical Society ·Frank B. Knight	13
9	On the Excursion Process of Brownian Motion 1980 ·Transactions of the American Mathematical Society ·Frank B. Knight	7
10	Prediction Processes and an Autonomous Germ-Markov Property 1979 ·The Annals of Probability ·Frank B. Knight	1
11	A Characterization of the Cauchy Type 1976 ·Proceedings of the American Mathematical Society ·Frank B. Knight	4
12	A characterization of the Cauchy type 1976 ·Proceedings of the American Mathematical Society ·Frank B. Knight	16
13	An Infinitesimal Decomposition for a Class of Markov Processes 1970 ·The Annals of Mathematical Statistics ·Frank B. Knight	3
14	Brownian local times and taboo processes 1969 ·Transactions of the American Mathematical Society ·Frank B. Knight	58
15	Brownian Local Times and Taboo Processes 1969 ·Transactions of the American Mathematical Society ·Frank B. Knight	12
16	A Pair of Conditional Normal Convergence Theorems 1966 ·Theory of Probability and Its Applications ·Frank B. Knight	1
17	Random walks and a sojourn density process of Brownian motion 1963 ·Transactions of the American Mathematical Society ·Frank B. Knight	93
18	Random Walks and A Sojourn Density Process of Brownian Motion 1963 ·Transactions of the American Mathematical Society ·Frank B. Knight	32
19	On the Random Walk and Brownian Motion 1962 ·Transactions of the American Mathematical Society ·Frank B. Knight	19
20	On the random walk and Brownian motion 1962 ·Transactions of the American Mathematical Society ·Frank B. Knight	43

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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