Peter M. Alberti

434 total citations
19 papers, 232 citations indexed

About

Peter M. Alberti is a scholar working on Mathematical Physics, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Peter M. Alberti has authored 19 papers receiving a total of 232 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Mathematical Physics, 7 papers in Algebra and Number Theory and 5 papers in Computational Theory and Mathematics. Recurrent topics in Peter M. Alberti's work include Advanced Operator Algebra Research (10 papers), Advanced Topics in Algebra (7 papers) and Spectral Theory in Mathematical Physics (5 papers). Peter M. Alberti is often cited by papers focused on Advanced Operator Algebra Research (10 papers), Advanced Topics in Algebra (7 papers) and Spectral Theory in Mathematical Physics (5 papers). Peter M. Alberti collaborates with scholars based in Germany, Australia and Canada. Peter M. Alberti's co-authors include Armin Uhlmann, Volker Heinemann, Scott Stanton and Kirsten Anderson and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Statistical Physics and Journal of Mathematical Physics.

In The Last Decade

Peter M. Alberti

16 papers receiving 220 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter M. Alberti Germany 7 139 112 61 59 30 19 232
Г. Г. Амосов Russia 9 180 1.3× 173 1.5× 33 0.5× 107 1.8× 26 0.9× 84 304
Burkhard Kümmerer Germany 9 177 1.3× 157 1.4× 56 0.9× 107 1.8× 36 1.2× 18 296
Jean-Gabriel Luque France 9 126 0.9× 125 1.1× 39 0.6× 31 0.5× 31 1.0× 29 244
Lech Jakóbczyk Poland 11 316 2.3× 289 2.6× 60 1.0× 38 0.6× 15 0.5× 30 383
А. М. Чеботарев Russia 10 218 1.6× 180 1.6× 117 1.9× 133 2.3× 5 0.2× 61 381
Guillaume Aubrun France 10 138 1.0× 156 1.4× 31 0.5× 38 0.6× 7 0.2× 23 256
Masao Hirokawa Japan 10 172 1.2× 73 0.7× 119 2.0× 179 3.0× 4 0.1× 43 300
Chun-Hong Zhang China 6 231 1.7× 110 1.0× 45 0.7× 28 0.5× 32 1.1× 18 316
Raphael Ho egh-Krohn Norway 6 93 0.7× 17 0.2× 86 1.4× 167 2.8× 5 0.2× 8 251
Rajesh Pereira Canada 8 103 0.7× 114 1.0× 20 0.3× 18 0.3× 17 0.6× 47 228

Countries citing papers authored by Peter M. Alberti

Since Specialization
Citations

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

Fields of papers citing papers by Peter M. Alberti

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter M. Alberti. 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 Peter M. Alberti. The network helps show where Peter M. Alberti may publish in the future.

Co-authorship network of co-authors of Peter M. Alberti

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

All Works

19 of 19 papers shown
1.
Anderson, Kirsten, et al.. (2017). New York State's Inland Geographic Response Plans. International Oil Spill Conference Proceedings. 2017(1). 2017117–2017117. 1 indexed citations
2.
Alberti, Peter M. & Armin Uhlmann. (2000). On Bures Distance and *-Algebraic Transition Probability between Inner Derived Positive Linear Forms over W*-Algebras. Acta Applicandae Mathematicae. 60(1). 1–37. 18 indexed citations
3.
Alberti, Peter M.. (1992). A Study on the Geometry of Pairs of Positive linear Forms, Algebraic Transition Probability and Geometrical Phase over Non - Commutative Operator Algebras (I). Zeitschrift für Analysis und ihre Anwendungen. 11(3). 293–334. 5 indexed citations
4.
Alberti, Peter M.. (1992). A Study on the Geometry of Pairs of Positive Linear Forms, Algebraic Transition Probability and Geometrical Phase over Non-Commutative Operator Algebras (II). Zeitschrift für Analysis und ihre Anwendungen. 11(4). 455–488. 3 indexed citations
5.
Alberti, Peter M. & Volker Heinemann. (1989). Bounds for the C*-algebraic transition probability yield best lower and upper bounds to the overlap. Journal of Mathematical Physics. 30(9). 2083–2089. 2 indexed citations
6.
Alberti, Peter M.. (1988). A note on stochastic operators on L1-spaces and convex functions. Journal of Mathematical Analysis and Applications. 130(2). 556–563.
7.
Alberti, Peter M.. (1986). Completely Positive Stochastic Linear Maps Over AFD-Factors and Unitary Mixing on Generating U.H.F.-Subalgebras. Publications of the Research Institute for Mathematical Sciences. 22(6). 1105–1117. 2 indexed citations
8.
Alberti, Peter M.. (1986). Completely Positive Linear Maps in a Concept of Majorization on Certain Operator Algebras. Publications of the Research Institute for Mathematical Sciences. 22(6). 1173–1189. 2 indexed citations
9.
Alberti, Peter M.. (1986). Convexity, unitary invariance and monotonicity under completely positive maps over injective vN-algebras. Letters in Mathematical Physics. 12(4). 249–256.
10.
Alberti, Peter M.. (1985). On the Simultaneous Transformation of Density Operators by Means of a Completely Positive, Unity Preserving Linear Map. Publications of the Research Institute for Mathematical Sciences. 21(3). 617–644. 2 indexed citations
11.
Alberti, Peter M., et al.. (1984). Nonlinear evolution equations andH theorems. Journal of Statistical Physics. 35(1-2). 131–149. 2 indexed citations
12.
Alberti, Peter M. & Armin Uhlmann. (1983). Stochastic linear maps and transition probability. Letters in Mathematical Physics. 7(2). 107–112. 18 indexed citations
13.
Alberti, Peter M.. (1983). A note on the transition probability over C*-algebras. Letters in Mathematical Physics. 7(1). 25–32. 40 indexed citations
14.
Uhlmann, Armin & Peter M. Alberti. (1982). Stochasticity and Partial Order: Doubly Stochastic Maps and Unitary Mixing. Medical Entomology and Zoology. 70 indexed citations
15.
Alberti, Peter M. & Armin Uhlmann. (1981). A note on stochastic dynamics in the state space of a commutative C* algebra. Journal of Mathematical Physics. 22(11). 2345–2351. 3 indexed citations
16.
Alberti, Peter M. & Armin Uhlmann. (1981). Dissipative motion in state spaces. Medical Entomology and Zoology. 19 indexed citations
17.
Alberti, Peter M. & Armin Uhlmann. (1980). A problem relating to positive linear maps on matrix algebras. Reports on Mathematical Physics. 18(2). 163–176. 39 indexed citations
18.
Alberti, Peter M. & Armin Uhlmann. (1980). Existence and Density Theorems for Stochastic Maps on Commutative C*‐algebras. Mathematische Nachrichten. 97(1). 279–295. 6 indexed citations
19.
Alberti, Peter M.. (1979). On maximally unitarily mixed states on W*‐algebras. Mathematische Nachrichten. 91(1). 423–430.

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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