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Mathematics
India
2026

D-Index & Metrics

Mathematics

D-Index
55
Citations
14676
World Ranking
782
National Ranking
7

Electronics and Electrical Engineering

D-Index
52
Citations
14188
World Ranking
2481
National Ranking
18

Vivek S. Borkar publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Vivek S. Borkar sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 395 publications — 93rd percentile

93% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Vivek S. Borkar D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Vivek S. Borkar sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 55 D-Index — 79th percentile

79% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2026 - Research.com Mathematics in India Leader Award
  • 2025 - Research.com Mathematics in India Leader Award
  • 2023 - Research.com Mathematics in India Leader Award
  • 2013 - Fellow of the American Mathematical Society
  • 2012 - Fellow, The World Academy of Sciences
  • 2002 - IEEE Fellow For contributions to stochastic and adaptive control.
  • Fellow of the Indian National Academy of Engineering (INAE)
  • Fellow of the Indian National Academy of Engineering (INAE)
  • Fellow of the Indian National Academy of Engineering (INAE)
  • Fellow of the Indian National Academy of Engineering (INAE)
  • Fellow of the Indian National Academy of Engineering (INAE)
  • Fellow of the Indian National Academy of Engineering (INAE)
  • Fellow of the Indian National Academy of Engineering (INAE)
  • Fellow of the Indian National Academy of Engineering (INAE)
  • Fellow of the Indian National Academy of Engineering (INAE)

Overview

Vivek S. Borkar is affiliated with the Indian Institute of Technology Bombay in India. The primary fields of study for this researcher include Computer Science and Engineering, with substantial contributions spanning these disciplines. Their work extensively covers subfields such as Artificial Intelligence, Electrical and Electronic Engineering, Management Science and Operations Research, Computational Theory and Mathematics, and Statistics and Probability.

Their recent published papers reflect a focus on control theory, reinforcement learning, and optimization. Notable publications include:

  • Whittle index based Q-learning for restless bandits with average reward, 2022, Automatica
  • Equation of State Calculations by Fast Computing Machines, 2022, Resonance
  • User Association in Dense mmWave Networks as Restless Bandits, 2022, IEEE Transactions on Vehicular Technology
  • A Variational Characterization of the Risk-Sensitive Average Reward for Controlled Diffusions on ℝ^d, 2020, SIAM Journal on Control and Optimization
  • Ergodic risk-sensitive control-A survey, 2023, Annual Reviews in Control

Their frequent co-authors indicate collaborative research relationships with Konstantin Avrachenkov, Siddharth Chandak, K. S. Mallikarjuna Rao, Gaurav S. Kasbekar, and Ari Arapostathis. These collaborations highlight interdisciplinary engagements primarily within control systems and stochastic processes.

Publication venues for this researcher include:

  • arXiv (Cornell University)
  • Resonance
  • Systems & Control Letters
  • SIAM Journal on Control and Optimization
  • SSRN Electronic Journal

Vivek S. Borkar's book publications have appeared through the outlets "Texts and readings in mathematics" and "Hindustan Book Agency." Titles include "Elementary Convexity with Optimization" (2023) and "Stochastic Approximation: A Dynamical Systems Viewpoint" (2022, 2023), reflecting ongoing contributions to foundational mathematical and computational methods. The book "Stochastic Approximation: A Dynamical Systems Viewpoint" has received notable citations.

The researcher's work focuses on advanced topics such as:

  • Reinforcement Learning in Robotics
  • Markov Chains and Monte Carlo Methods
  • Stochastic processes and financial applications
  • Advanced Bandit Algorithms Research
  • Smart Grid Energy Management
  • Advanced MIMO Systems Optimization
  • Optimization and Variational Analysis

Recognitions awarded include Fellowships from the American Mathematical Society (2013), The World Academy of Sciences (2012), the Indian National Academy of Engineering (INAE), and the IEEE in 2002, where the fellowship was granted for contributions to stochastic and adaptive control.

Best Publications

  • A unified framework for hybrid control: model and optimal control theory

    M.S. Branicky;V.S. Borkar;S.K. Mitter

  • Stochastic Approximation: A Dynamical Systems Viewpoint

    Vivek S. Borkar

  • Discrete-time controlled Markov processes with average cost criterion: a survey

    Aristotle Arapostathis;Vivek S. Borkar;Emmanuel Fernández-Gaucherand;Mrinal K. Ghosh

  • The O.D. E. Method for Convergence of Stochastic Approximation and Reinforcement Learning

    V. S. Borkar;S. P. Meyn

  • Stochastic approximation with two time scales

    Vivek S. Borkar

  • Asymptotic agreement in distributed estimation

    V. Borkar;P. Varaiya

  • A unified framework for hybrid control

    M.S. Branicky;V.S. Borkar;S.K. Mitter

  • A Theory of QoS for Wireless

    I.-H. Hou;V. Borkar;P. R. Kumar

  • Actor-Critic--Type Learning Algorithms for Markov Decision Processes

    Vijaymohan R. Konda;Vivek S. Borkar

  • A New Distributed Time Synchronization Protocol for Multihop Wireless Networks

    Roberto Solis;Vivek S. Borkar;P. R. Kumar

  • Ergodic Control of Diffusion Processes

    Vivek S. Borkar

  • Optimal Control of Diffusion Processes

    Vivek S. Borkar

  • Learning Algorithms for Markov Decision Processes with Average Cost

    J. Abounadi;D. Bertsekas;V. S. Borkar

  • Probability Theory: An Advanced Course

    Vivek S. Borkar

  • An actor-critic algorithm for constrained Markov decision processes

    Vivek S. Borkar

  • Topics in controlled Markov chains

    Vivek S. Borkar

  • Distributed Asynchronous Incremental Subgradient Methods

    A. Nedić;D. P. Bertsekas;V. S. Borkar

  • Asynchronous Stochastic Approximations

    Vivek S. Borkar

  • Adaptive control of Markov chains, I: Finite parameter set

    V. Borkar;P. Varaiya

  • LQG Control with Communication Constraints

    V. S. Borkar;Sanjoy K. Mitter

  • Controlled diffusion processes

    Vivek Borkar

  • Controlled diffusion processes

    Vivek S. Borkar

Frequent Co-Authors

Konstantin Avrachenkov
Konstantin Avrachenkov French Institute for Research in Computer Science and Automation - INRIA
Pravin Varaiya
Pravin Varaiya University of California, Berkeley
Eitan Altman
Eitan Altman French Institute for Research in Computer Science and Automation - INRIA
P. R. Kumar
P. R. Kumar Texas A&M University
Venkat Anantharam
Venkat Anantharam University of California, Berkeley
Sean P. Meyn
Sean P. Meyn University of Florida
Michael S. Branicky
Michael S. Branicky University of Kansas
Dimitri P. Bertsekas
Dimitri P. Bertsekas Arizona State University

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