Research

Research Profiles:
Google Scholar Profile: http://scholar.google.ca/citations?user=513lFiMAAAAJ&hl=en&oi=ao
MathSciNet Profile: http://www.ams.org/mathscinet/search/author.html?mrauthid=966934

Papers Published:
G. Katsimpas and P. Skoufranis, Bi-Free Entropy with Respect to Completely Positive Maps, Canadian Journal of Mathematics, 76 (2024), no. 4, 1163-1239.
Online Copy: Link
ArXiv Version: https://arxiv.org/abs/2106.13114

P. Skoufranis, Non-Commutative Stochastic Processes and Bi-Free Probability, Indiana University Mathematics Journal, 73 (2024), no. 2, 421-444.
ArXiv Version: https://arxiv.org/abs/2204.11636

I. Charlesworth and P. Skoufranis, Analogues of Entropy in Bi-Free Probability Theory: Microstates, International Mathematics Research Notices 2023 (2023), no. 1, 636-707.
Online Copy: https://doi.org/10.1093/imrn/rnab279
ArXiv Version: https://arxiv.org/abs/1902.03874

A. Fan, J. Montemurro, P. Motakis, N. Praveen, A. Rusonik, P. Skoufranis, and N. Tobin, Restricted Invertibility of Continuous Matrix Functions, Operators & Matrices 17 (2022), no. 4, 1191-1217.
Online Copy: https://oam.ele-math.com/16-78/Restricted-invertibility-of-continuous-matrix-functions
ArXiv Version: https://arxiv.org/abs/2201.04238

I. Charlesworth and P. Skoufranis, Analogues of Entropy in Bi-Free Probability Theory: Non-Microstates, Advances in Mathematics 375 (2020), 107367 (73 pages).
Online Copy: Link
ArXiv Version: https://arxiv.org/abs/1902.03873

Y. Gu, T. Hasebe, and P. Skoufranis, Bi-Monotonic Independence for Pairs of Algebras, Journal of Theoretical Probability 33 (2020), 533-566.
Online Copy: Link
Preprint: https://arxiv.org/abs/1708.05334

Y. Gu and P. Skoufranis, Bi-Boolean Independence for Pairs of Algebras, Complex Analysis and Operator Theory 13 (2019), no. 7, 3023-3089.
Online Copy: Link
Preprint with Errata: https://arxiv.org/abs/1703.03072

Y. Gu and P. Skoufranis, Conditional Bi-Free Independence with Amalgamation, International Mathematics Research Notices (2018), no. 23, 7359-7419.
Online Copy: Link
Preprint: http://arxiv.org/abs/1609.07820

S. Belinschi, H. Bercovici, Y. Gu, and P. Skoufranis, Analytic Subordination for Bi-Free Convolution, Journal of Functional Analysis 275 (2018), no. 4, 926-966.
Online Copy: Link
Preprint: https://arxiv.org/abs/1702.01673

P. W. Ng, L. Robert, and P. Skoufranis, Majorization in C*-Algebras, Transactions of the American Mathematical Society 370 (2018), no. 8, 5725-5759.
Online Copy: Link
Preprint: http://arxiv.org/abs/1608.04350

P. Skoufranis, A Combinatorial Approach to the Other Bi-Free Partial S-Transform, Operators and Matrices 12 (2018), no. 2, 333-355.
Online Copy: Link
Preprint: https://arxiv.org/abs/1705.02857

K. Dykema and P. Skoufranis, Numerical Ranges in II1 Factors, Proceedings of the Edinburgh Mathematical Society 61 (2018), no. 1, 31-55.
Online Copy: Link
Preprint: http://arxiv.org/abs/1503.05766

P. Skoufranis, Some Bi-Matrix Models for Bi-Free Limit Distributions, Indiana University Mathematics Journal 66 (2017), no. 5, 1755-1795.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1506.01725

P. W. Ng and P. Skoufranis, Closed convex hulls of unitary orbits in certain simple real rank C*-algebras, Canadian Journal of Mathematics 65 (2017), no. 5, 1109-1142.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1603.07059

Y. Gu and P. Skoufranis, Conditional Bi-Free Independence for Pairs of Faces, Journal of Functional Analysis 273 (2017), no. 5, 1663-1733.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1609.07475

Kennedy and P. Skoufranis, Thompson’s Theorem in II1 Factors, Transactions of the American Mathematical Society 369 (2017), no. 2, 1495-1511.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1407.1564

P. Skoufranis, On Operator-Valued Bi-Free Distributions, Advances in Mathematics 303 (2016), 638-715.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1510.03896

P. Skoufranis, Independences and Partial R-Transforms in Bi-Free Probability, Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 52 (2016), no. 3, 1437-1473.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1410.4265

P. Skoufranis, A Combinatorial Approach to Voiculescu's Bi-Free Partial Transforms, Pacific Journal of Mathematics 283 (2016), no. 2, 419-447.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1504.06005

P. Skoufranis, Closed Convex Hulls of Unitary Orbits in C*-Algebras of Real Rank Zero, Journal of Functional Analysis 270 (2016), no. 4, 1319-1360.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1504.04825

I. Charlesworth, B. Nelson, and P. Skoufranis, On Two-Face Families of Non-Commutative Random Variables, Canadian Journal of Mathematics 67 (2015), no. 6, 1290-1325.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1403.4907

M. Kennedy and P. Skoufranis, The Schur-Horn Problem for Normal Operators, Proceedings of the London Mathematical Society 111 (2015), no. 2. 354-380.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1501.06457

D. Shlyakhtenko and P. Skoufranis, Freely Independent Random Variables with Non-Atomic Distributions, Transactions of the American Mathematics Society 367 (2015), no. 9, 6267-6291.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1305.1920

I. Charlesworth, B. Nelson, and P. Skoufranis, Combinatorics of Bi-Freeness with Amalgamation, Communications in Mathematical Physics 338 (2015), 801-847.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1408.3251

P. Skoufranis, On a Notion of Exactness for Reduced Free Products of C*-Algebras, Journal für die reine und angewandte Mathematik 700 (2015), 129-153.
Online Copy: Link
ArXiv version: http://arxiv.org/abs/1202.5455

P. Skoufranis, Normal Limits of Nilpotent Operators in C*-Algebras, Journal of Operator Theory 72 (2014), no. 1, 135-158.
Online Copy: Link

P. Skoufranis, Normal Limits of Nilpotent Operators in von Neumann Algebras, Integral Equations and Operator Theory 77 (2013), no. 3, 407-439.
Online Copy: Link

P. Skoufranis, Closed Unitary and Similarity Orbits of Normal Operators in Purely Infinite C*-Algebras, Journal of Functional Analysis 265 (2013), no. 3, 474-506.
Online Copy: Link
ArXiv Version: http://arxiv.org/abs/1208.6337

K. Hare and P. Skoufranis, The Smoothness of Orbital Measures on Exceptional Lie Groups, Journal of Lie Theory 21 (2011), no. 4, 987-1007.
Online Copy: Link

Accepted:
X. Mootoo and P. Skoufranis, Joint Majorization in Continuous Matrix Algebras, to appear in the Journal of Operator Theory, (2023), 24 pages.
ArXiv Version: https://arxiv.org/abs/2210.13309

Preprints:
P. Skoufranis, Central Limit Theorem for Tensor Products of Free Variables via Bi-Free Independence, (2024), 20 pages.
ArXiv Version: https://arxiv.org/abs/2405.19216