# Ehtibar Dzhafarov

**Degree:** Ph.D. Moscow (Lomonosov) State University, Russia, 1979, Mathematical, Cognitive

## Research Interests:

My research deals with behavior in a broad and interdisciplinary sense: while experimental work is confined to human behavior, mathematical theories apply to abstract systems encompassing diverse research fields within and outside psychology. Thus, the same system of random variables can describe human decision making and quantum spin measurements in elementary particles; the same topological language applies to sensory discrimination and measurement gadgets; the same geometry describes subjective dissimilarities among perceived objects and space in the general relativity theory. Graduate training in this field is interdisciplinary and requires in-depth mastery of certain areas of mathematics.

## Recent Publications:

Zhang, R., & **Dzhafarov, E.N.** (2017). Testing contextuality in cyclic psychophysical systems of high ranks. In J.A. de Barros, B. Coecke, E. Pothos (Eds.) Lecture Notes in Computer Science 10106, 151-162. (available as

arXiv:1604.04801.)

Cervantes, V.H., & **Dzhafarov, E.N.** (2017). Exploration of contextuality in a psychophysical double-detection experiment. In J.A. de Barros, B. Coecke, E. Pothos (Eds.) Lecture Notes in Computer Science 10106, 182-193. (available as

arXiv:1604.04800.)

**Dzhafarov, E.N.**, & Kujala, J.V. (2017). Contextuality-by-Default 2.0: Systems with binary random variables. In J.A. de Barros, B. Coecke, E. Pothos (Eds.) Lecture Notes in Computer Science 10106, 16-32. (available as arXiv:1604.04799.)

**Dzhafarov, E.N.** (2016). Stochastic unrelatedness, couplings, and contextuality. *Journal of Mathematical Psychology 75C*, 34-41. (available as arXiv:1506.08218.)

**Dzhafarov, E.N.**, & Kujala, J.V. (2016). Context-content systems of random variables: The contextuality-by-default theory. J*ournal of Mathematical Psychology 74*, 11-33. (available as arXiv:1511.03516.)

**Dzhafarov, E.N.**, & Kujala, J.V. (2016). Probability, random variables, and selectivity. In W.Batchelder, H. Colonius, E.N. Dzhafarov, J. Myung (Eds), pp. 85-150. *The New Handbook of Mathematical Psychology.* Cambridge University Press. (available as arXiv:1312.2239.)

**Dzhafarov, E.N.,** Kujala, J.V., Cervantes, V.H., Zhang, R., & Jones, M. (2016). On contextuality in behavioral data. *Philosophical Transactions of the Royal Society* A 374: 20150234. (available as arXiv:1508.04751.)

Kujala, J.V., & **Dzhafarov, E.N.** (2016). Proof of a conjecture on contextuality in cyclic systems with binary variables. *Foundations of Physics 46*, 282-299. (available as arXiv:1503.02181.)

de Barros, J.A., **Dzhafarov, E.N.**, Kujala, J.V., & Oas, G. (2016). Measuring Observable Quantum Contextuality. *Lecture Notes in Computer Science 9535*, 36-47. (available as arXiv:1406.3088.)

**Dzhafarov, E.N.**, Kujala, J.V., & Cervantes, V.H. (2016). Contextuality-by-Default: A brief overview of ideas, concepts, and terminology. *Lecture Notes in Computer Science 9535*, 2016, 12-23. (available as arXiv:1504.00530.)

**Dzhafarov, E.N.**, Zhang, R., & Kujala, J.V. (2015). Is there contextuality in behavioral and social systems? *Philosophical Transactions of the Royal Society A 374*, 20150099. (available as arXiv:1504.07422.)

Kujala, J.V., & **Dzhafarov, E.N.** (2015). Probabilistic contextuality in EPR/Bohm-type systems with signaling allowed. In E.N. Dzhafarov, S. Jordan, R. Zhang, V.H. Cervantes (Eds). *Contextuality from Quantum Physics to Psychology*, pp. 287-308. New Jersey: World Scientific. (available as arXiv:1406.0243.)

**Dzhafarov, E.N.**, & Kujala, J.V. (2015). Conversations on contextuality. In E.N. Dzhafarov, S. Jordan, R. Zhang, V.H. Cervantes (Eds). *Contextuality from Quantum Physics to Psychology*, pp. 1-22. New Jersey: World Scientific. (available as arXiv:1508.00862.)

Kujala, J.V., **Dzhafarov, E.N.**, & Larsson, J-Å (2015). Necessary and sufficient conditions for extended noncontextuality in a broad class of quantum mechanical systems. *Physical Review Letters* 115, 150401. (available as arXiv:1407.2886.)

Zhang, R. & **Dzhafarov, E.N.** (2015). Noncontextuality with marginal selectivity in reconstructing mental architec- tures. *Frontiers in Psychology: Cognition* 1:12 doi: 10.3389/fpsyg.2015.00735. (Corrigenda to “Noncontextuality with Marginal Selectivity in Reconstructing Mental Architectures,” Frontiers in Psychology: Cognition 7:437 doi: 10.3389/fpsyg.2016.00437, 2016)

**Dzhafarov, E.N.,** & Kujala, J.V., & Larsson, J.-Å. (2015). Contextuality in three types of quantum-mechanical systems. *Foundations of Physics 7*, 762-782 (available as arXiv:1411.2244).

**Dzhafarov, E.N.**, & Kujala, J.V. (2015). Random variables recorded under mutually exclusive conditions: Contextuality- by-Default. In H. Liljenström (Ed.) *Advances in Cognitive Neurodynamics IV* (pp. 405-410) (available as arXiv:1309.0962.)

**Dzhafarov, E.N.,** & Kujala, J.V. (2014). Contextuality is about identity of random variables. *Physica Scripta T163*, 014009 (available as arXiv:1405.2116.)

**Dzhafarov, E.N.**, & Perry, L. (2014). Perceptual matching and sorites: Experimental study of an ancient Greek paradox. *Attention, Perception, and Psychophysics 76*, 2441-2464.

Khrennikov, A., Basieva, I., **Dzhafarov, E.N.**, & Busemeyer, J.R. (2014). Quantum models for psychological measurements: An unsolved problem. *PLoS One 9(10)*: e110909. doi:10.1371/journal.pone.0110909 (available as arXiv:1403.3654.)

**Dzhafarov, E.N.**, & Kujala, J.V. (2014). A qualified Kolmogorovian account of probabilistic contextuality. *Lecture Notes in Computer Science 8369*, 201-212 (available as arXiv:1304.4546.)

**Dzhafarov, E.N.**, & Kujala, J.V. (2014). Embedding quantum into classical: contextualization vs conditionalization. *PLoS One 9(3)*: e92818. doi:10.1371/journal.pone.0092818 (available as arXiv:1312.0097.)

**Dzhafarov, E.N.**, & Kujala, J.V. (2014). No-Forcing and No-Matching theorems for classical probability applied to quantum mechanics. *Foundations of Physics, 44*, 248-265 (available as arXiv:1305.3649.)

Jones, M., & **Dzhafarov, E.N.** (2014). Analyzability, ad hoc restrictions, and excessive flexibility of evidence- accumulation models: Reply to two critical commentaries. *Psychological Review 121*, 689-695.

Jones, M., & **Dzhafarov, E.N.** (2014). Unfalsifiability and mutual translatability of major modeling schemes for choice reaction time. *Psychological Review, 121*, 1-32.

**Dzhafarov, E.N.,** & Kujala, J.V. (2014). Selective influences, marginal selectivity, and Bell/CHSH inequalities. *Topics in Cognitive Science, 6*, 121–128 (available as arXiv:1211.2342.)

##### Professor, Mathematical & Computational Cognitive Science

**Mailing Address:**

Department of Psychological Sciences

Purdue University

703 Third Street

West Lafayette, IN 47907-2081 USA

**Campus Address: **Peirce Hall, Room 365D

**E-mail:** ehtibar@purdue.edu

**Telephone: **(765) 494-5645

** **