פרידמן

לפרטים על תואר ראשון ושני

למידע נוסף על לימודים אקדמיים בלבד השאירו פרטיכם ונחזור בהקדם

ראשי » פרידמן
פרופ' פרידמן יעקב,
ראש ראשות המחקר
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Curriculum Vitae
קורות חיים

Academic background


1966-71 BA and MA, University of Moscow Major Subject: Functions of complex variable and conformal mappings.
1972-79 Ph.D. studies in University of Tel-Aviv, Thesis: Spaces of compact
operators on a Hilbert Space; Advisor: Professor Aldo Lazar; Degree Granted: May 1980.
 

Academic Positions


1972-78 Tel-Aviv University: Teaching Assistant in Mathematics
1978-79 Tel-Aviv University: Lecturer
1979-83 University of California, Irvine, Lecturer
1983-85 University of California, Los Angeles, Visiting Assistant Professor
1985-86 University of California, Riverside, Visiting Assistant Professor
1986-87 University of California, Los Angeles, Visiting Assistant Professor
1987-89 Jerusalem College of Technology, Israel, Senior Lecturer
1989-90 Jerusalem College of Technology, Israel, Associate Professor
1990-1991 Jerusalem College of Technology, Israel, Associate Professor, Director
of preparatory program, Supervisor of Applied Mathematics division 11991-2000 Jerusalem College of Technology, Israel, Associate Professor, Chair Department of Mathematics
1998-2000 Jerusalem College of Technology, Israel, Associate Professor, Vice Rector.
2000-2003 Jerusalem College of Technology, Israel, Rector.
2000-current Jerusalem College of Technology, Israel, Professor.
2003-current Jerusalem College of Technology, Israel, Head of Research Authority.
 

 Applied Research Positions
 

1974-77 Golden State Software co.,co-founder, R&D director, leading the development of one of the rst multilingual (Hebrew - English) wordprocessor "Mince" that was sold in USA.
1975-82 Consulting to venture capitalists on feasibility of several high- tech projects.
1984-99 Co-founder and director of Technologic Software Ltd. and of its spin-of US software company Access360, acquired by IBM in 2002.
1992-94 Senior Researcher on project "Gender determination of new-born chicks" at Jerusalem College of Technology, supported by Yavne Hatchary, developing algorithms for signal compression and classification based on statistical methods (the nearest neighbor) and neural networks. A 75%-80% accuracy was achieved. To make this project commercially viable there is a need of additional investment and cooperation with biologists. Venture capitalists now are considering to take the project to the next stage.
1994-97 R&D director, Memsys Ltd. (a spin-o of the Jerusalem College of Technology incubator) leading the R&D e ort to develop memory devices from defective memory components; developed a new effective method of describing the defectiveness of the devices and algorithms of avoiding the defective regions; designed and implemented a unique production line for such products.
21997-98 R&D director, of the Center for Handicapped Technology at Jerusalem College of Technology, developing a handicapped speech recognition device based on neural network technology. A working prototype was built and the college is looking for additional investment to continue the project.
1998-99 Nurture Life Ltd. R&D director, developing algorithms for calculation of the amount of milk during breast feeding.
 

Languages Spoken and Read


English, Russian, Hebrew, Yiddish, Ukrainian.
 

Prizes and Grants


1975 Prize of the Department of Basic Research of the Israel National Academy of Science and Humanities.
1977 Research Prize in memory of Michael Landau of The Fund for Research of Mifal Hapais.
1984-86 NSF Grant DMS-8402640, B. Russo and Y. Friedman, "Structure and Representation of Operator Systems.
1986-88 NSF Grant DMS-86-03064, B. Russo and Y. Friedman, "Structure and Application of Operator Triple Systems".
1989-92 BSF Grant 88-00066, Y. Friedman, B. Russo and T. Barton, "Structure and Application Of Facially Symmetric Spaces, Derivations of Operator Triple Systems".
1999 The annual Henry and Betty Rosenfelder Award given to the outstanding Jerusalem College of Technology faculty member.
2005 The annual Henry and Betty Rosenfelder Award for the outstanding researcher of the Jerusalem College of Technology.
2010-13 German-Israel Foundation for Scienti c Research and Development: GIF No. 1078-107.14/2009, Y. Friedman, Y. Itin, F. Hehl and C.
3Laemmerzahl \Exploring the full range of electrodynamics: from applied physics to general relativity ".
Invited talks
1. Plenary invited lecture at the 7th International Congress of Cli ord Algeras 2005 Toulouse
2. Invited lecture at Colloquium on Integrable Systems 2005 in Prague
3. Invited plenary lecture at Workshop on Jordan Structures in analysis and geometry 2006 at Kaohsiung Taiwan

 

Patents


Author of two patents submitted by Memsys Ltd. in Israel and to PCT.
In these patent a new mathematical method for information compression of
the description of defectiveness of large scale electronic devices is proposed.
By use of this method and methods of Operations Research a production
process for component recovery of defective memory elements was developed
and successfully implemented.
 

Other academic activities


1. Reviewer for Mathematical Reviews
2. Referee for Fuzzy Sets and Systems
3. Coordinator of the Review committee for the Computer department at JCT that developed the new curriculum for this department.
4. Coordinator of the committee for the second degree program in Computer Based Systems.
5. Active in the scienti c absorption program at JCT.
6. Coordinator of the Review committee for the Electro-optics department at JCT that developed the new curriculum for this department.
7. 2005-2008: Head of the board of the Haredi Center for Technological Studies.
 

Professional accomplishments and future plans.
 

JB-triples and their applications
The JB-triples are the algebraic structure associated with Bounded Sym-
metric Domains. They contain C algebras, Jordan algebras, Hilbert spaces
and other mathematical structures and occur in di erent problems in mathematics. The theory of JB triples had large advancements the last three decades. My main research before the associate professor degree was related to the study of the structure and representations of these spaces.
After 1989, together with B. Russo, we continued our research of the connection between the geometry of the unit ball of the dual to a Banach space and the algebraic structure that could be associated with this geometry on this space. In [7.2.1], [7.2.5] and [7.2.8](reference 1,5 and 8 from section 8.2) it was shown that the geometry of the state space of Quantum mechanics
(arousing from the measuring process) leads to a JB-triple structure on the
set of observables. In a lecture at the Jordan algebra conference in Ober wolfach [7.3.3] I presented several results and future plans for applications of Bounded symmetric domains and JB triple structure for di erent problems in physics and electronics. Some of these results appear in details in [7.2.7]. Together with U. Sandler and A. Naimark we are continuing this research, which uses the strong mathematical tools developed in the theory of JB-triples to solve and get better understanding of concrete problems in 11relativistic and quantum physics. A new representation on the Canonical Anticommutation Relations and the Lorentz group based on the triple structure was currently obtained with Russo. We have also shown [7.2.17] and [7.2.18] that the spin factor provides a model for both fermions and bosons. We are looking for applications of this new technique to problems in mathematics
and physics.
During this period I also worked with J. Arazy and T. Barton on derivations and di erentiation on JB-triples. In [7.2.2] it was shown that everywhere de ned derivation of a JB-triple is automatically continuous and that bounded derivations are approximated by inner derivations. The connection
between the Joint Pierce decomposition and the di erentiation of operator functions was obtained in [7.2.3]. New condition for di erentiability of such functions was derived. These results of operator dierentiation and other new results in JB-triples allowed us to solve the contractive projection problem
in Cp. The full result was published in [7.2.6] and the announcement in [7.2.4]. In [7.2.10] the use of JB-triple techniques, developed earlier, helped to obtain new results on Hilertian seminorms and to de ne and study local order based on geometry.
In [7.2.9] it was shown that the translations of the authomorphism group of a bounded symmetric domain generate so called gyrogroup, which is a generalization of a group. It is shown in [8.4.1], this gyrogroup could be deformed into a group and a formula for such deformation is obtained. Currently, these results were used to modify the velocity addition in special relativity to make
this addition associative. I am looking for application of this result to some physical problems.
10.2 Fuzzy dynamics
A new way of describing evolution of systems with uncertainty was studied together with U. Sandler. The way is based on methods of Fuzzy Logic and causality principle. It was shown that two types of calculus of fuzzy logic operations could be used for such description. If the rst one is used, we
obtain a generalization of the most famous equations of evolution in physics.
The second calculus is helpful in description of evolution when only expert knowledge is available or when the data is an ordinal data. Di erential equations were derived and concrete methods of obtaining these equations were developed. Qualitative analysis of di erent possible behavior was performed.
Several examples were considered. The fuzzy dynamic description of the
12elaboration of the instrumental re
ex gave a good agreement with the exper-
imental data. This theory and its applications appear in a series of papers
[7.2.11], [7.2.13], [7.2.14] and [7.3.4]-[7.3.7]. Currently we used this theory
to describe the evolution of software products in [7.3.2] and [7.3.3]. We are
continuing this work to complete the remained open problems and applying
the developed methods to new models.
Applied statistics in optics, medicine and brain
research In [7.2.12] and in the two patents statistical methods were developed and
used for analysis and compression of data. In [7.2.31] a statistical analysis of
medical data was used to build new Ultrasonic Growth Curves.
Together with N. Schwietzer we build a mathematical model for description of stability of optical systems under rotation and translation. In [7.2.15]
it was shown that plane mirror systems are stable if and only if they are retrorecting or direction preserving. Using this model we already classified in [7.2.16] all stable systems containing 3 or less mirrors. This classi cation already revealed unknown stable systems. We plan to continue this theory and look for possible applications to it.
Together with Alexander Friedman and the Neuropharmacology Laboratory of Dr. Gal Yadid at Multidisciplinary Brain Research Center at Bar-Ilan University we discovered the e ect of depression on the neuronal activity in the ventral tegmental brain area. We continue to work on the description of the dynamics of mesolimbic dopaminergic system to obtain a predictor of depression and as an indicator antidepressant e ect.
Together with my student Alexander Friedman, we analyzed data of neuronal activity in VTA area of an animal model of depression. We identied the missing signals of such activity under depression. Based on this discovery it was developed at the Brain Research center of Bar Ilan a successive treatment for depression on the animal model. We found a way to characterize the effect of desipramine treatment on depressed animals.
1310.4 Current research: Mathematical models for Physics based on Mathematics of Bounded Symmetric Domains In [7.3.3] it was proposed that Bounded Symmetric Domains may provide a model for di erent areas in Physics. This idea was developed further in [7.2.19] and [7.2.20], where it was shown that the Bounded Symmetric Domains occur from fundamental laws in Physics and that the geometry of these domains determine the evolution of systems in Physics. Currently, surprising results for accelerated systems were obtained and presented at an International Conference on General Relativity and Cosmology. Currently we found experimental support for maximal acceleration and an estimate to it of am = 1018g.
An invited plenary lecture was given at the International Congress of Cli ord Algebras at Toulouse-France 2005 and an invited lecture at the International Seminar on Integrable Systems in Prague 2005. The approach in presented in the book [7.1.1]published by Birkhouser in 2004 in the series
Progress in Mathematical Physics.
It was shown that the triple product connected to the domain of type 4 correspond to the geometric product of Cli ord algebras. This product is used to de ne a relativistic phase space and three representations of the Poincare group on this space. We found currently a complex scalar potential
for any electromagnetic eld. This potential may become the bridge between classical and quantum mechanics.
 

Publications

1. Y. Friedman," Subspaces of LC(H) and C1" , Proceeding of Amer. Math. Society 53 (1975), p.111-122.

2. J. Arazy, Y.Friedman,"The isometries of Cp into Cp", Israel Journal of Math. 26 (1977), p.151-165.

3. J. Arazy, Y. Friedman,"Contractive projections in C1 and C1 ", Memoirs of the American Mathematical Society, 200, March 1978, 165 pages.

4. Y. Friedman, B. Russo, "Contractive projections on C0(K)", Transactions of the American Math. Soc., 273 (1982), p.57-73.

5. Y. Friedman, B. Russo, "Contractive Projections on Operator Triple Systems", Mathematica Scandinavica, 52 (1983), p.279-311.

6. Y. Friedman, B. Russo, "Function Representation of Commutative Operator Triple Systems", Journal of London Math. Society, 27 (2)(1983),

p.513-524.

7. Y. Friedman, B. Russo, "Operator algebras without order", Comptes Rendus Acad. Science, Serie I, Mathematique 296 (1983), p.393-396.

8. Y. Friedman, B. Russo, "Conditional expectation without order", Pacic Journal of Mathematics, 115 (1984), p.351-3609.

9. Y. Friedman, B. Russo, "Solution of the contractive projection problem", Journal of Functional Analysis 60 (1985), p.56-79.

10. Y. Friedman, B. Russo, " Structure of the predual of a JBW-triple", Journal fur die Reine and Ang. Math., 356 (1985), p.67-89.

11. Y. Friedman, B. Russo, " The Gelfand-Naimark Theorem for JB- triple", Duke Math. Journal, V.53, No. 1, (1986), p.139-148.

12. Y. Friedman, B. Russo, " A Geometric Spectral Theorem", Quarterly Journal of Math (Oxford) (2), V. 37 (1986), p.263-277.

13. Y. Friedman, B. Russo, " Conditional expectation and bicontractive projections of Jordan C-algebras and their generalizations", Mathematische Zeitschrift, 194 (1987), p.227-236.

14. T. Dang, Y. Friedman, "Classi cation of JBW-triple factors and applications", Mathematica Scandanavica, 61 (1987), p.292-330.

15. T. Barton, Y. Friedman,"Grothendieck's inequality for JB-triple and applications", Journal of London Math. Soc., (2) 36, (1987), p.513-523.

16. Y. Friedman, A. Gelman and E. Phadia, " Best invariant estimation of distribution function under Kolmogorov-Smirnov Loss Function", Annals of Statistics 16 (1988), p.1254-1261.

17. Y. Friedman, J. Hakeda, " Additivity of quadratic maps", Publ. of RIMS Kyoto University V24, N5 (1988), p.707-722.

18. Y. Friedman, A. Gelman and E. Phadia, "A modi ed Kolmogorov-Smirnov type goodness-of- t test", Communication in Statistics V. 17 N. 12 (1988), p.41-47.

19. Y. Friedman, B. Russo, "Some ane geometric aspects of operator, algebras", Paci c Journal of Math, 137, N1 (1989), p.123-144.

 

20. Y. Friedman, B. Russo, " Ane structure of facially symmetric spaces", Mathematical Proceedings (Cambridge Philos. Soc.) 106 (1989), p.107-124.

21. T. Barton, Y. Friedman, "Bounded derivations on JB-triples", Quarterly Journal of Math (Oxford) 41 (1990), N. 163, p.255-268.

22. J. Arazy, T. Barton, Y. Friedman, " Operator dierentiable functions", Journal of Operator Integral Theory, 13 (1990), N. 4, p.462-487.

23. J. Arazy, Y. Friedman, " Contractive projections in Cp", C.R. Acad. Sci. Paris, 312 (1991), p.439-444.

24. Y. Friedman, B. Russo, " Geometry of the dual ball of the spin factor", Proceedings of London Math. Soc., (3) 65 (1992), p.142-174.

25. J. Arazy, Y. Friedman, " Contractive projections in Cp", Memoir Amer. Math. Soc., V. 95, N. 459, (1992), 109 pages.

26. Y. Friedman, A. Naimark, "The homogeneity of the ball in R3 and special relativity", Foundations of Physics, Letters v5, N4 (1992), p.337-354.

27. Y. Friedman, B. Russo, " Classi cation of atomic facially symmetric spaces", Canadian Journal of Mathematics, v45(1), (1993), p.33-87.

28. Y. Friedman, A. Ungar, "Gyrosemidirect Product Structure of Bounded Symmetric Domains", Results in Mathematics, v26, (1994), p.28-38.

29. T. Barton, Y. Friedman, and B. Russo, "Hilbertian seminorms and local order in JB-triples", Quarterly Journal of Math (Oxford) 46, (1995), p.257-278.

30. Y. Friedman, U. Sandler, "Evolution of systems under fuzzy dynamics laws", Fuzzy Sets and Systems, 84 (1996), p. 61-74.

31. O.P. Tadmor, Y. Friedman, H. Frankfurt,D. Basel, O. Martin, R. Rabinovich, A. Samuelo and Y.Z. Diamant, " Ultrasonic Growth Curves for an Ultra-Orthodox Jerusalem Population: Comparison with Accepted Normograms", Israel J. Obstet. Gynecol., v.7 no3 (1996), p.95-105.

 

32. Y. Friedman, U. Sandler, "Dynamics of fuzzy systems",International Journal of Chaos Theory and Applications, Invited paper, v.2, No.3-4, (1997),p.5-21.

33. N. Schweitzer, Y. Friedman and M. Skop. "Stability of plain reecting surfaces", Applied Optics, v.37, No.22 (1998), p.5190-5193.

34. Y. Friedman and N. Schweitzer, "Classi cation of Stable Con gurations of Plane Mirrors", Applied Optics, v.37, No.31 (1998), p.7229-7234.

35. Y. Friedman, U. Sandler, "Fuzzy Dynamics as an alternative to Statistical Mechanics", Fuzzy Sets and Systems,Special Issue"Fuzzy Modelling and Dynamics", v.106, no 1 (1999),p.61-74.

36. Y. Friedman, B. Russo, "A new approach to the representation of the Lorentz group on the spinors", Seminarberichte aus dem Fachbereich Mathematik, Band 68,n3 (1999), p.107-140 .

37. Y. Friedman, B. Russo, "A new approach to spinors and some representation of the Lorentz group on them",Foundations of Physics, v.31(12), (2001),p.1733-1766 .

38. Y. Friedman, Yu. Gofman, "Why Does the Geometric Product Simplify the Equations of Physics?", International Journal of Theoretical Physics, Vol.41, No.10, (2002) p.1861-1875.

39. Y. Friedman, Yu. Gofman," Relativistic Linear Spacetime Transformations Based on Symmetry", Foundations of Physics, Vol.32, No.11, (2002) p.1717-1736.

40. Y. Friedman, M.Semon, "Relativistic acceleration of charged particles in uniform and mutually perpendicular electric and magnetic eldsas viewed in the laboratory frame", Physical Review E 72 (2005), p.026603-1{10.

41. Y. Friedman, "Explicit solutions for relativistic acceleration and rotation", Czechoslovak Journal of Physics, Vol.55 N11 (2005) p.1403-1408.

42. Yaakov Friedman " A new view on relativity: Part 1. Kinematic relations between inertial and relativistically accelerated systems based on symmetry", Concepts of Physics, Vol IV N2 (2007) p.205-237.

43. Yaakov Friedman " A new view on relativity: Part 2 Relativistic Dynamics", Concepts of Physics, Vol IV N2 (2007) p.239-260.

44. Alexander Friedman, Ilana Deri, Yaakov Friedman, Eliyahu Dremencov, Sophia Goutkin, Elizabeth Kravchinsky, Matti Mintz, Dino Levi, David H. Overstreet, and Gal Yadid "Decoding of Dopaminergic Mesolimbic Activity and Depressive Behavior" , Journal of Molecular Neuroscience, 32(1) (2007) p.72-9.

44. Alexander Friedman, Yaakov Friedman, Eliyahu Dremencov, Gal Yadid "VTA Dopamine Bursting is Altered in an Anima Model of Depression and Corrected by Desipramine" Journal of Molecular Neuroscience, 34(3), 2008, p.201-209.

45. Yakov Itin and Yaakov Friedman "Backwards on Minkowski's road. From 4D to 3D Maxwellian electromagnetism", Annalen der Physik 17 No. 9-10 (2008) 769-786.

46. Yaakov Friedman, "Geometric tri-product of the spin domain and Clifford algebras" in Advances in Applied Cli
ord Algebras, Birkhauser, (2008) 621-645.

47. Yaakov Friedman and Yury Gofman, \A new relativistic kinematics of accelerated systems", Physica Scripta, 82 (2010) 015004.

48. Yaakov Friedman and Vadim Ostapenko \The complex pre-potential and the Aharonov-Bohm e ect", Journal of Physics A:Mathematical and Theoretical 43 (2010) 405305.

49. Yaakov Friedman \The maximal acceleration, Extended Relativistic Dynamics and Doppler type shift for an accelerated source", Ann. Phys. (Berlin) 523 No. 5, (2011) 408-416.

50. Yaakov Friedman and Israel Nowik \Testing Einstein's time dilation under acceleration using Mossbauer spectroscopy", Physica Scripta, 85 (2012) 065702.

51. Yaakov Friedman and Emanuel Resin \Dynamics of hydrogen-like atom bounded by maximal acceleration", Physica Scripta, 86 (2012) 015002.

52. Yaakov Friedman and Tzvi Scarr \ Making the Relativistic Dynamics Equation Covariant: Explicit Solutions for Motion under a Constant Force", Physica Scripta, 86 (2012) 065008.

53. Yaakov Friedman and Tzvi Scarr \ Spacetime Transformations from a Uniformly Accelerated Frame", Physica Scripta,87 (2013) 055004.

54. Yaakov Friedman \ Digitization of the harmonic oscillator in extended relativity", Physica Scripta,87 (2013) 065702.