OOIR: Observatory of International Research

Papers

(The median citation count of Infinite Dimensional Analysis Quantum Probability and Related Topics is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)

Article	Citations
The average values of a kind of functionals in LP and concentration without measure	11
Schrödinger dynamics and optimal transport of measures	6
A Feynman–Kac approach for the spatial derivative of the solution to the Wick stochastic heat equation driven by time homogeneous white noise	6
On the Bogolyubov endomorphisms of the renormalized square of white noise algebra	5
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	5
On stopping rules for tree-indexed quantum Markov chains	4
Two-dimensional quantum Bernoulli process and the related central limit theorem	4
An invitation to some of K. R. Parthasarathy’s writings: Part I	4
Preface	4
A characterization of Riesz-dual sequences which are near-Markushevich bases	4
Wong–Zakai approximations for quasilinear systems of Itô's-type stochastic differential equations driven by fBm with H > 1 2	3
Lp-Theory for the fractional time stochastic heat equation with an infinite-dimensional fractional Brownian motion	3
Rates of convergence for laws of the spectral maximum of free random variables	3
A note on matrix-valued orthonormal bases over LCA groups	3
Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises	2
A lower bound estimate of life span of solutions to stochastic 3D Navier–Stokes equations with convolution-type noise	2
Finitely generated weakly monotone C∗-algebra	2
Fundamentals of classical and quantum stochastic filtering theory	2
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	2
Motzkin path decompositions of functionals in noncommutative probability	2
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions	2
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces	2
Quantum properties of classical Pearson random variables	2
Stochastic version of Henry type Gronwall’s inequality	1
Characters of infinite-dimensional quantum classical groups: BCD cases	1

A note on the rate of convergence in the Boolean central limit theorem	1
Characterization of Gaussian quantum Markov semigroups	1
A new numerical scheme for Itô stochastic differential equations based on Wick-type Wong–Zakai arguments	1
Bi-free probability theory and reflection positivity	1
Characterizations of tracial functionals on C∗-algebras	1
Hafnian point processes and quasi-free states on the CCR algebra	1
Stochastic approximation in infinite dimensions	1
Twisted convolution quantum information channels, one-parameter semigroups and their generators	1
Quadratic-exponential functionals of Gaussian quantum processes	1
Useful variants and perturbations of completely entangled subspaces and spans of unextendible product bases	1
Noncommutative quantum decomposition of Gegenbauer white noise process	1
On irreducibility of Gaussian quantum Markov semigroups	1
Quantum symmetry in multigraphs (part II)	1
Quantum Wasserstein distance of order 1 between channels	1
The category of compact quantum metric spaces	1
Some noncommutative subsequential weighted individual ergodic theorems	0
Ergodic decomposition in the space of unital completely positive maps	0
Ergodic theorems for higher order Cesàro means	0
Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations	0
Anticipating quantum stochastic integrals	0
Diffusion approximation for transport equations with dissipative drifts for time dependent coefficients	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
Algebraic groups in non-commutative probability theory revisited	0
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	0
Remembering Prof. K. R. Parthasarathy (25 June 1936–14 June 2023)	0
Operator-valued infinitesimal multiplicative convolutions	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	0
Lie symmetries, conservation laws, optimal system and power series solutions of time fractional modified KdV–Zakharov–Kuznetsov equation	0
A white noise approach to stochastic currents of Brownian motion	0
Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion	0
Positivity of Gibbs states on distance-regular graphs	0
The structure of entrance laws for time-inhomogeneous Ornstein–Uhlenbeck processes with Lévy noise in Hilbert spaces	0
On operator-valued infinitesimal Boolean and monotone independence	0
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	0
Dissipative dynamics for infinite lattice systems	0
Effects of permutation functions on woven and non-woven frames	0
A note on the infinite-dimensional quantum Strassen’s theorem	0
Backward stochastic evolution inclusions in UMD Banach spaces	0
Functions with image in a strip	0
On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	0
Preface	0
Author index (Vol. 26)	0
A new construction of shearlets	0
Ground state of one-dimensional Fermion–Phonon systems	0
Entropy exchange and coherent information based on local quantum Bernoulli noises	0
A Lévy–Khinchin formula on Olshanski spherical pairs	0

Author index (Vol. 27)	0
From the Choi formalism in infinite dimensions to unique decompositions of generators of completely positive dynamical semigroups	0
Combinatorics of NC-probability spaces with independent constants	0
Uniqueness and superposition of the space-distribution-dependent Zakai equations	0
Hidden quantum Markov processes	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
Conditionally monotone cumulants via shuffle algebra	0
On the direct and indirect influence of Prof. K. R. Parthasarathy on my game theoretic research career	0
A Feynman–Kac formula for magnetic monopoles	0
IDH-Anderson model and density of states measure	0
Relative entropy via distribution of observables	0
Strong 1-boundedness of unimodular orthogonal free quantum groups	0
New class of Gibbs measures for two-state hard-core model on a Cayley tree	0
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability	0
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski	0
An extension of Krishnan’s central limit theorem to the Brown–Thompson groups	0
Some strong limit theorems for weighted sums of measurable operators	0
Remarks on CCR and CAR flows over closed convex cones	0
On irreducibility and positivity improvement of norm continuous quantum Markov semigroups	0
On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications	0
Non-commutative stochastic processes with independent increments	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0
On the non-commutative multifractional Brownian motion	0
Computation of sandwiched relative α-entropy of two n-mode Gaussian states	0
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	0
Matrix-valued Schrödinger operators over finite adeles	0
Hamiltonian of free field on infinite-dimensional hypercube	0
Herglotz’s representation for operator valued functions and the spectral theorem for unitary operators	0
Algebraic Hidden processes and Hidden Markov processes	0
Higher energy state approximations in the “Many interacting worlds” model	0
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	0
A few remarks on intermediate subalgebras of an inclusion of C^*-algebras	0
On near-martingales and a class of anticipating linear stochastic differential equations	0
Continuous Krishna–Parthasarathy entropic uncertainty principle	0
A note on invariant states of Gaussian quantum Markov semigroups	0
Author index (Vol. 24)	0
On matrix-valued Gabor frames over locally compact abelian groups	0
Block quantum dynamical semigroups of completely positive definite kernels	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0
Universality theorems for asymmetric spaces	0
From Hamiltonian Systems to Compressible Euler Equation driven by additive Holder noise	0
Sensitivity analysis in the infinite dimensional Heston model	0
Quasi-invariant states	0
Causal perturbative QFT and white noise	0
Quantum analogues of white noise delta functions	0
Operator-valued Gaussian processes and their covariance kernels	0
Author index (Vol. 25)	0
Sufficient statistic and Rao–Blackwell theorem in quantum probability	0
Generalized fractional Lévy–Meixner Appell polynomials in infinite dimensions	0
Stochastic integrals and Gelfand integration in Fréchet spaces	0
Meixner random variables and their quantum operators	0
The Stockwell transform on locally compact abelian groups	0
Full error analysis for the training of deep neural networks	0
Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940–2021)	0
Quantum Ising model with generalized competingXY-interactions on a Cayley tree	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0
Free CIR processes	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
Partial isometries between Hilbert modules and their compositions	0
Combinatorial aspects of weighted free Poisson random variables	0
Stochastic quantization of laser propagation models	0