conformal field theory and fixed points

... functions of fields Green's functions are evaluated through insertions into the functional integral Γ(n)(x₁, , xₙ; μ, gᵢ(μ)).UV and IR Limits and Fixed Points1.3 UV and IR Limits and Fixed Points The ... flow within theory space, beginning with the identification of RG fixed points linked to conformal field theories (CFTs) Among these, the "Gaussian fixed point" stands out as the trivial fixed point ... definition of the anomalous dimension for the field itself. 1.3 UV and IR Limits and Fixed Points 9Couplings in the neighbourhood of a fixed point flow as in (1.22) and are accordingly classified in the

Ngày tải lên: 01/06/2022, 08:40

... which extend and unify several well-known theorems (e.g., Browder [7], [5, Theorems 1 and 2] Fixed Point Theory and Applications 2005:3 (2005) 389–407 DOI: 10.1155/FPTA.2005.389 Trang 2and [6, Theorems ... and 5], Fan [6,9], [10, Theorem 5] and [8, Theorem 1], Glicksberg [14], Kakutani [18], Bohnenblust and Karlin [3], Halpern and Bergman [15], and others) concerning upper semicontinuous maps and, ... set-valued maps inE and prove various new results concerning the existence of zeros of Φ, coincidences ofF and G and fixed points of F in which transfer positive hemicontinu-ity and strictly transfer

Ngày tải lên: 23/06/2014, 00:20

... Peng and Yao []; Zeng et al []; Peng et al []; Wangkeeree and Kamraksa []; Jaiboon and Kumam []; Chamnarnpan and Kumam []; Cholamjiak et al []. Nadler [] started to study fixed points ... to solve the EP and MEP, see, for instance, [–] and the references therein Fixed point problems for multivalued mappings are more difficult than those of single-valued mappings and play very important ... multivalued contractions and nonexpansive mapping by using the Hausdorff metric Sastry and Babu [] defined Mann and Ishikawa iterates for a multivalued map T with a fixed point p, and proved that these

Ngày tải lên: 02/11/2022, 11:38

... 2b=3CONFORMAL FRACTALS,DIMENSIONS ANDERGODIC THEORY Feliks Przyt ki& Mariusz Urbanski This book is an intro to the theory of iteration of non-uniformly expanding maps and in measure theory ... setsyield informations on Hausdor andother dimensions and properties The book starts with a e hapter on ergo theory followed by hapters on uniform expanding maps and thermo al formalism This material ... systems andrelated elds, far beyond the inthis book Popular examples of the sets to be investigated are Julia sets for rational onthe Riemannsphere The theory hwasinitiated b Gaston Julia[J℄ and

Ngày tải lên: 24/04/2014, 17:09

... E, J Squires Complex Angular Momenta and Particle Physics: A Lecture Note and Reprint Volume, 1963 L Van Hove, N M Hugenholtz, and L P Howland ture Note and Reprint Volume, 1961 Problemsin ... both the physics and the elaboration of this material; to Professors T W B Kibble, P T Matthews, and A Salam for their warm hospitality at Imperial College; and to Drs G Leibbrandt and R M Williams ... require, respectively, the definition and study of pfaffians and determinants, and of hafnians and permanents [1]: any expectation value of any product of free Fermi fields is in fact a pfaffian (which

Ngày tải lên: 24/04/2014, 17:17

... [0,1 2) and (3.14) implies (3.15), and the conclusion of Corollary 3.3 follows from Corollary 3.2 (b) Theorems 3.1-3.4 and Corollaries 3.1 and 3.2 all generalize and improve [5, Theorem 3.4] and ... first establish some new fixed point theorems for MT-functions By using these results, we can obtain some generalizations of Kannan’s fixed point theorem and Chatterjea’s fixed point theorem for ... contractive factor, Kannan?’?s fixed point theorem, Chat-terjea?’?s fixed point theorem 1 Introduction Throughout this paper, we denote byN and ℝ, the sets of positive integers and real numbers, respectively

Ngày tải lên: 20/06/2014, 22:20

... perspective, the fixed point theory in modular function spaces should be considered as complementary to the fixed point theory in normed spaces and in metric spaces The theory of contractions and nonexpansive ... any T : C ® C r-nonexpansive has a fixed point Moreover, the set of all fixed points Fix(T) is r-closed and convex Next, we discuss the existence of common fixed points for Banach operator pairs ... r-continuous and lim inf n→∞ ρ(g − T(f n)) =ρ(g − T(f )) for any sequence{fn}⊂ C which r-converges to f and for any g Î C 3 Common fixed points for Banach operator pairs The study of a common fixed

Ngày tải lên: 20/06/2014, 22:20

... R C H Open AccessExistence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces Jingxin Zhang1* and Yunan Cui2 * Correspondence: ... natural generalization of both uniformly convexnormed spaces and CAT(0) spaces In this article, we discuss the existence of fixed points and demiclosed principle for mappings of asymptotically non-expansive ... are a natural generalization of both uniformly convex normed spaces and CAT(0) spaces We prove the existence of fixed points and demiclosed principle for mappings of asymptotically nonexpansive

Ngày tải lên: 21/06/2014, 00:20

... C and u Î VI(A, C) ≠ ∅ Let B : C ® E* be a continuous and monotone mapping and f : C × C ® ℝ be a bifunction satisfying the conditions (A1) - (A4), and
: C ® ℝ be a lower semi-continuous and ... asymptotic fixed points of S will be denoted byF(T) A mapping T is called relatively nonexpansive [38-40] if ˆF(T) = F(T)and Trang 5A mapping T is called hemi-relatively nonexpansive if F(T)≠ ∅ andφ(p, ... projection method Takaha-for solving (mixed) equilibrium problems and fixed point problems in Hilbert and Banch spaces; see, [12,15,16,47-57] and references therein Recently, Qin et al [58] further extended

Ngày tải lên: 21/06/2014, 02:20

... uniform spaces 1 Introduction There exists considerable literature of fixed-point theory dealing with results on fixed or common fixed-points in uniform spacee.g., between 1 14 But the majority ... u ∈ Tx, y ∩ x, ∞ and v ∈ Ty, x ∩ −∞, y. Then T has a coupled fixed-point x∗, y∗, that is, x∗ ∈ Tx∗, y∗ and y∗ ∈ Ty∗, x∗ And there exist two sequences {x n } and {y n } with x n−1 ... each x, y ∈ M, x  fx, y and fy, x  y. Then f has a coupled fixed-point x∗, y∗, that is, x∗  fx∗, y∗ and y∗  fy∗, x∗ And there exist two sequences {x n } and {y n } with x n−1  x

Ngày tải lên: 21/06/2014, 05:20

... compact carriers and coefficients in the field of rational numbers Q from the category of Hausdorff topological spaces and continuous maps to the category of graded vector spaces and linear maps ... Y the setf−1K is nonempty and compact A proper map p : X → Y is called Vietoris provided that for every y ∈ Y the set p−1y is acyclic Let X and Y be two spaces, and assume that for every x ... HX0 are Leray endomorphisms, then so is the third and Λq∗p−1 ∗  Λq∗p−1∗ − Λq∗p−1∗ ψ ◦ ϕ : X  T is admissible, and for every p1, q1 ⊂ ϕ and p2, q2 ⊂ ψ there exists a pair p, q ⊂ ψ

Ngày tải lên: 21/06/2014, 05:20

... Y Censor, and S Reich, Eds., pp 473– 504, North-Holland, Amsterdam, Holland, 2001 9 K Goebel and W A Kirk, Topics in Metric Fixed Point Theory, vol 28 of Cambridge Studies in Advanced Mathematics, ... 2001. 5 L.-C Zeng and J.-C Yao, “Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings,” Nonlinear Analysis Theory, Methods & ... intesectionof the fixed point sets of nonexpansive mappings,” in Inhently Parallel Algorithms in Feasibility and Optimization and Their Applications, D Butnariu, Y Censor, and S Reich, Eds.,

Ngày tải lên: 21/06/2014, 05:20

... particularly in connection with both string and ε∞ theorysee 7 and references cited therein In recent years, many authors have proved fixed point and common fixed point theorems in fuzzy metric ... and S have a unique common fixed point provided that the pair A, S is weakly compatible. 3 Implicit Functions and Common Fixed Point We recall the following two implicit functions defined and ... S and T and define F : 0, 14 → R as Ft1, t2, t3, t4  t1− φmin{t2, t3, t4} with φr √r. Trang 10Then, A, B, S and T satisfy all the conditions of Theorem 3.9 and have a uniquecommon fixed

Ngày tải lên: 21/06/2014, 05:20

... 3.9 and T3x  lim n→ ∞2n h 2n 3.22 for all x ∈ X The uniqueness of T1, T2, and T3follows from3.10 Now, we show that T1 T2 T3 Replacing x and y by 2 n x and 0 in3.5, respectively, and ... non-Archimedean norm onQp, and it makesQpa locally compact fieldsee 32,33 In34, Arriola and Beyer showed that, if f : Q p → R is a continuous mapping for which there exists a fixed ε such that |fx ... n 2.9 for all n ∈ N and x ∈ X By passing the limit n → ∞ in 2.9 and using 2.2, we obtain 2.5 Trang 5Now, we show that T is additive It follows from2.1, 2.3, and 2.4 that 2Tx

Ngày tải lên: 21/06/2014, 05:20

... where  ≥ 0 and 0 ≤ p < 1 This result was later extended to all p / 1 and generalized by Gajda11, Th M Rassias and ˇSemrl 12, and Isac and Th M Rassias 13 Trang 3In 2000, Lee and Jun 14 ... distribution, and reproduction in any medium, provided the original work is properly cited Using fixed point methods, we prove the stability and superstability of C∗-ternary additive, quadratic, cubic, and ... obtain f2n x  2mn f x 3.32 for all x ∈ X and n ∈ N and so f x  2 mn f  x 2n  3.33 for all x ∈ X and n ∈ N It follows from 3.29 and 3.33 that f x, y, z −f x, fy ,

Ngày tải lên: 21/06/2014, 05:20

... concentrate on the theory that is defined on the sphere Let us begin by analysing the meromorphic conformal subtheory in some detail Conformal Field Theory 10 Meromorphic Conformal Field Theory In this ... of a conformal structure, but more advanced Conformal Field Theory 22 features of the theory do, and therefore the conformal structure is an integral part of the theory A meromorphic field theory ... is the conformal weight of ψi , and we call h and h the conformal weights of φ ¯ ¯ and φ, respectively Since φ and φ are not meromorphic fields, h and ¯ are in general h not half-integer, and the...

Ngày tải lên: 31/03/2014, 16:21

... particle physics, including electroweak theory, quantum chromodynamics, grand unified theory, supersymmetry, supergravity and superstring theory, has changed our standpoint on the history of the universe ... Bailin D and Love A 1994 Supersymmetric Gauge Field Theory and String Theory (Bristol: IOP) ch [4] Weinberg S 1987 Phys Rev Lett 59 2607 [5] Weinberg S 1977 The First Three Minutes (London: Andr´ ... Nuno Antunes, Mar Bastero-Gil, Ed Copeland, Beatriz de Carlos, Mark Hindmarsh, George Kraniotis, Andrew Liddle, Andr´ Lukas and Paul Saffin for the particle and cosmological physics that we e have...

Ngày tải lên: 24/04/2014, 17:06

... x, y Î X be arbitrary and fixed and consider the following five cases: Włodarczyk and Plebaniak Fixed Point Theory and Applications 2011, 2011:90 http://www.fixedpointtheoryandapplications.com/content/2011/1/90 ... Włodarczyk and Plebaniak Fixed Point Theory and Applications 2011, 2011:90 http://www.fixedpointtheoryandapplications.com/content/2011/1/90 Page of 24 (c) Let u0 Î X be arbitrary and fixed By (a), ... holds and, additionally, the conditions (D1) and (D3) hold, then (D2) is satisfied Włodarczyk and Plebaniak Fixed Point Theory and Applications 2011, 2011:90 http://www.fixedpointtheoryandapplications.com/content/2011/1/90...

Ngày tải lên: 20/06/2014, 21:20

... 〈v - u, w〉 ≥ 0, ∀u Î C}, and define Tv = Av + NC v, v ∈ C, ∅, v ∈ C Bunyawat and Suantai Fixed Point Theory and Applications 2011, 2011:47 http://www.fixedpointtheoryandapplications.com/content/2011/1/47 ... nÎN} - 1||, supnÎN g ||f (xn - 1)||} and M = sup{||Bxn-1|| : Bunyawat and Suantai Fixed Point Theory and Applications 2011, 2011:47 http://www.fixedpointtheoryandapplications.com/content/2011/1/47 ... Bunyawat and Suantai Fixed Point Theory and Applications 2011, 2011:47 http://www.fixedpointtheoryandapplications.com/content/2011/1/47 Page of 13 ¯ ¯ By Lemma 2.2, we have that ||I − A|| ≤ − γ , and...

Ngày tải lên: 21/06/2014, 00:20

... (1.2) Page of 19 Peng Fixed Point Theory and Applications 2011, 2011:12 http://www.fixedpointtheoryandapplications.com/content/2011/1/12 Page of 19 and the set of fixed points of a family of ... Peng Fixed Point Theory and Applications 2011, 2011:12 http://www.fixedpointtheoryandapplications.com/content/2011/1/12 Let the mapping A : C ® H be monotone and k-Lipschitz-continuous ... (3:1) Peng Fixed Point Theory and Applications 2011, 2011:12 http://www.fixedpointtheoryandapplications.com/content/2011/1/12 Page of 19 ), {rn} ⊂ [d, e] for some 4k d, e Î (0, 2a), and {an},...

Ngày tải lên: 21/06/2014, 02:20