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 2021-03-01 to 2025-03-01.)

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	5
On the Bogolyubov endomorphisms of the renormalized square of white noise algebra	5
An invitation to some of K. R. Parthasarathy’s writings: Part I	4
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	4
Two-dimensional quantum Bernoulli process and the related central limit theorem	4
A characterization of Riesz-dual sequences which are near-Markushevich bases	4
A note on matrix-valued orthonormal bases over LCA groups	4
On stopping rules for tree-indexed quantum Markov chains	4
Preface	4
Lp-Theory for the fractional time stochastic heat equation with an infinite-dimensional fractional Brownian motion	4
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions	3
Rates of convergence for laws of the spectral maximum of free random variables	3
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces	3
Wong–Zakai approximations for quasilinear systems of Itô's-type stochastic differential equations driven by fBm with H > 1 2	3
Fundamentals of classical and quantum stochastic filtering theory	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
Useful variants and perturbations of completely entangled subspaces and spans of unextendible product bases	2
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	2
Path independence of the additive functionals for McKean–Vlasov stochastic differential equations with jumps	2
On the generalization of moyal equation for an arbitrary linear quantization	2
Finitely generated weakly monotone C∗-algebra	2
Quantum properties of classical Pearson random variables	2

Motzkin path decompositions of functionals in noncommutative probability	2
Twisted convolution quantum information channels, one-parameter semigroups and their generators	1
The category of compact quantum metric spaces	1
An L2-approximation method for construction and smoothing estimates of Markov semigroups for interacting diffusion processes on a lattice	1
Causal perturbative QFT and white noise	1
A note on the rate of convergence in the Boolean central limit theorem	1
Quantum symmetry in multigraphs (part II)	1
Quantum Wasserstein distance of order 1 between channels	1
Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	1
Schur–Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion	1
Bi-free probability theory and reflection positivity	1
Hafnian point processes and quasi-free states on the CCR algebra	1
Stochastic version of Henry type Gronwall’s inequality	1
Stochastic approximation in infinite dimensions	1
Quadratic-exponential functionals of Gaussian quantum processes	1
Relative entropy via distribution of observables	1
Characterization of Gaussian quantum Markov semigroups	1
Characters of infinite-dimensional quantum classical groups: BCD cases	1
On irreducibility of Gaussian quantum Markov semigroups	1
Noncommutative quantum decomposition of Gegenbauer white noise process	1
Quantum Ising model with generalized competingXY-interactions on a Cayley tree	0
Free CIR processes	0
Lie symmetries, conservation laws, optimal system and power series solutions of time fractional modified KdV–Zakharov–Kuznetsov equation	0
Equilibrium statistical mechanics of barotropic quasi-geostrophic equations	0
Stochastic quantization of laser propagation models	0
Positivity of Gibbs states on distance-regular graphs	0
Higher energy state approximations in the “Many interacting worlds” model	0
On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications	0
Dissipative dynamics for infinite lattice systems	0
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0
The Stockwell transform on locally compact abelian groups	0
Generalized Bernoulli Wick differential equation	0
Quantum Aitchison geometry	0
Frame-cyclic operators and their properties	0
Diffusion approximation for transport equations with dissipative drifts for time dependent coefficients	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
Ergodic theorems for higher order Cesàro means	0
Operator-valued infinitesimal multiplicative convolutions	0
A note on the infinite-dimensional quantum Strassen’s theorem	0
Hamiltonian of free field on infinite-dimensional hypercube	0
Author index (Vol. 25)	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
New class of Gibbs measures for two-state hard-core model on a Cayley tree	0
Anticipating quantum stochastic integrals	0
Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations	0
Algebraic groups in non-commutative probability theory revisited	0
On operator-valued infinitesimal Boolean and monotone independence	0
Effects of permutation functions on woven and non-woven frames	0
Some strong limit theorems for weighted sums of measurable operators	0

Backward stochastic evolution inclusions in UMD Banach spaces	0
Combinatorics of NC-probability spaces with independent constants	0
Stochastic integrals and Gelfand integration in Fréchet spaces	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0
Preface	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
Universality theorems for asymmetric spaces	0
Entropy exchange and coherent information based on local quantum Bernoulli noises	0
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski	0
Hidden quantum Markov processes	0
A Feynman–Kac formula for magnetic monopoles	0
On irreducibility and positivity improvement of norm continuous quantum Markov semigroups	0
Matrix-valued Schrödinger operators over finite adeles	0
Functions with image in a strip	0
Author index (Vol. 27)	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
Non-commutative stochastic processes with independent increments	0
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
Author index (Vol. 26)	0
Ground state of one-dimensional Fermion–Phonon systems	0
Ergodic decomposition in the space of unital completely positive maps	0
Some noncommutative subsequential weighted individual ergodic theorems	0
From the Choi formalism in infinite dimensions to unique decompositions of generators of completely positive dynamical semigroups	0
Partial isometries between Hilbert modules and their compositions	0
Operator-valued Gaussian processes and their covariance kernels	0
Uniqueness and superposition of the space-distribution-dependent Zakai equations	0
An extension of Krishnan’s central limit theorem to the Brown–Thompson groups	0
Conditionally monotone cumulants via shuffle algebra	0
Remarks on CCR and CAR flows over closed convex cones	0
Full error analysis for the training of deep neural networks	0
On the direct and indirect influence of Prof. K. R. Parthasarathy on my game theoretic research career	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0
Computation of sandwiched relative α-entropy of two n-mode Gaussian states	0
Remembering Prof. K. R. Parthasarathy (25 June 1936–14 June 2023)	0
A new construction of shearlets	0
Herglotz’s representation for operator valued functions and the spectral theorem for unitary operators	0
Quantum analogues of white noise delta functions	0
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	0
Sensitivity analysis in the infinite dimensional Heston model	0
Sufficient statistic and Rao–Blackwell theorem in quantum probability	0
Block quantum dynamical semigroups of completely positive definite kernels	0
On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0
A Levy-Khinchin Formula on Olshanski Spherical Pairs	0
Strong 1-boundedness of unimodular orthogonal free quantum groups	0
On the non-commutative multifractional Brownian motion	0
Continuous Krishna–Parthasarathy entropic uncertainty principle	0
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	0
Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940–2021)	0
Combinatorial aspects of weighted free Poisson random variables	0
A note concerning Marcinkiewicz integral with rough kernel	0
Algebraic Hidden processes and Hidden Markov processes	0
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	0
Author index (Vol. 24)	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
A note on invariant states of Gaussian quantum Markov semigroups	0
A white noise approach to stochastic currents of Brownian motion	0
The structure of entrance laws for time-inhomogeneous Ornstein–Uhlenbeck processes with Lévy noise in Hilbert spaces	0
On matrix-valued Gabor frames over locally compact abelian groups	0
Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion	0
Generalized fractional Lévy–Meixner Appell polynomials in infinite dimensions	0
Quasi-invariant states	0
Meixner random variables and their quantum operators	0
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability	0
On near-martingales and a class of anticipating linear stochastic differential equations	0