Digital Object Identifier (DOI) Minting Policy

This policy articulates the scope of materials that can be assigned a Digital Object Identifier (DOI) through the Lamar Soutter Library, and the process of obtaining a DOI

Stochastic Calculus with a Special Generalized Fractional Brownian Motion

This work is a first step toward developing a stochastic calculus theory with respect to the generalized fractional Brownian motion, which a recently introduced Gaussian process is extending both fractional and sub-fractional Brownian motions. A Malliavin divergence operator and a stochastic symmetric integral with respect to this process are defined, and sufficient integrability conditions are provided. Moreover, corresponding Ito formulas are established, then applied to introduce a generalized version of the fractional Black–Scholes option pricing model. Keywords: Fractional, Sub-frational, Brownian motion, Malliavin Calculus, Stochastic, Symmetric integral, Black-Scholes equation MSC: 60G15, 60G22, 60H05. REFERENCES [1] Aloes, E., Mazet, O., & Nualart, D. (2001). Stochastic calculus with respect to Gaussian processes. The Annals of Probability, 29(2), 766-801.. Search in Google Scholar . Digital Object Identifier [2] Aloes, E., & Nualart, D. (2003). Stochastic integration with respect to the fractional Brownian motion. Stochastics and Stochastic Reports, 75(3), 129-152.‏. Search in Google Scholar. Digital Object Identifier [3] Bojdecki, T., Gorostiza, L. G., & Talarczyk, A. (2004). Sub-fractional Brownian motion and its relation to occupation times. Statistics & Probability Letters, 69(4), 405-419. Search in Google Scholar . Digital Object Identifier [4] E. Nouty, C. & Zili, M. (2015). On the sub-mixed fractional Brownian motion. Applied Mathematics-A Journal of Chinese Universities, 30, 27-43.. Search in Google Scholar.   Digital Object Identifier [5] Houdré, C., & Villa, J. (2003). An example of infinite dimensional quasi-helix. Contemporary Mathematics, 336, 195-202.‏. Search in Google Scholar  MR [6] Mandelbrot, B. B., & Van Ness, J. W. (1968). Fractional Brownian motions, fractional noises and applications. SIAM review, 10(4), 422-437. Search in Google Scholar  Digital Object Identifier [7] Mishura, Y. (2008). Stochastic calculus for fractional Brownian motion and related processes (Vol. 1929). Springer Science & Business Media.‏. Search in Google Scholar.   Digital Object Identifier [8] Mishura, Y., & Zili, M. (2018). Stochastic analysis of mixed fractional Gaussian processes. Elsevier. Search in Google Scholar . [9] Nourdin, I. (2012). Selected aspects of fractional Brownian motion (Vol. 4). Milan: Springer. Search in Google Scholar      [10] Nualart, D. (2006). The Malliavin calculus and related topics (Vol. 1995, p. 317). Berlin: Springer. Search in Google Scholar  Digital Object Identifier [11] Peltier, R. F., & Véhel, J. L. (1995). Multifractional Brownian motion: definition and preliminary results (Doctoral dissertation, INRIA). Search in Google Scholar     Inria view [12] Russo, F., & Vallois, P. (1993). Forward, backward and symmetric stochastic integration. Probability theory and related fields, 97, 403-421. Search in Google Scholar.     Digital Object Identifier [13] Sghir, A. (2013). The generalized sub-fractional Brownian motion. Communications on Stochastic Analysis, 7(3), 2. Search in Google Scholar  . Digital Object Identifier [14] Sottinen, T., & Valkeila, E. (2003). On arbitrage and replication in the fractional Black–Scholes pricing model. Statistics & Decisions, 21(2), 93-108. Search in Google Scholar       Digital Object Identifier [15] Tudor, C. (2007). Some properties of the sub-fractional Brownian motion. Stochastics An International Journal of Probability and Stochastic Processes, 79(5), 431-448. Search in Google Scholar      Digital Object Identifier   [16] Tudor, C. (2008). Some aspects of stochastic calculus for the sub-fractional Brownian motion. Ann. Univ. Bucuresti, Mathematica, 199-230. . Search in Google Scholar      Article  [17] Yan, L., Shen, G., & He, K. (2011). Itô's formula for a sub-fractional Brownian motion. Communications on Stochastic Analysis, 5(1), 9. Search in Google Scholar       Digital Object Identifier [18] Zili, M. (2017). Generalized fractional Brownian motion. Modern Stochastics: Theory and Applications, 4(1), 15-24. Search in Google Scholar      Digital Object Identifier [19] Zili, M. (2018). On the generalized fractional Brownian motion. Mathematical Models and Computer Simulations, 10(6), 759-769. Search in Google Scholar     Digital Object Identifier [20] Zili, M. (2006). On the mixed fractional Brownian motion. International Journal of stochastic analysis, 2006. Search in Google Scholar      Digital Object Identifier [21] Zili, M. (2014). Mixed sub-fractional Brownian motion. Random Operators and Stochastic Equations, 22(3), 163-178. Search in Google Scholar   Digital Object Identifier   Communicated Editor: Mezerdi Brahim Manuscript received Dec 03, 2023; revised Feb 02, 2024; accepted Feb 02, 2024; published May 11, 202

Digital Object Identifier: Privatising Knowledge Governance through Infrastructuring

This chapter uses what has become arguably the most ubiquitous piece of thinking infrastructure, the Digital Object Identifier (DOI), as a point of entry to explore the infrastructuring of hegemonic power in knowledge circulation. The chapter opens with a technical explanation of the DOI, followed by a brief history of the formation of the organizations that undergird the DOI. Along with the other metric devices, emerging “norms'' and narratives about the DOI further reinforce its centrality and we spend time debunking these myths. We close by exploring and making visible the relational work that the DOI performs to enable and shape the development of surveillance publishing, a dominant mode of profit and cognitive extraction in the higher education and research market

Moderate Deviations Principle and Central Limit Theorem for Stochastic Cahn-Hilliard Equation in Holder Norm

We consider a stochastic Cahn-Hilliard partial differential equation driven by a space-time white noise. In this paper, we prove a Central Limit Theorem (CLT) and a Moderate Deviation Principle (MDP) for a perturbed stochastic Cahn-Hilliard equation in Holder norm. The techniques are based on Freidlin-Wentzell’s Large Deviations Principle. The exponential estimates in the space of Holder continuous functions and the Garsia-Rodemich-Rumsey’s lemma plays an important role, an another approach than the Li.R. ¨and Wang.X. Finally, we estabish the CLT and MDP for stochastic Cahn-Hilliard equation with uniformly Lipschitzian coefficients. Keywords: Large Deviations Principle, Moderate Deviations Principle, Central Limit Theorem, Holder space, Stochastic Cahn-Hilliard equation, Green’s function, Freidlin-Wentzell’s method. MSC: 60H15, 60F05, 35B40, 35Q62 REFERENCES [1] Ben Arous, G., & Ledoux, M. (1994). Grandes déviations de Freidlin-Wentzell en norme hölderienne. Séminaire de probabilités de Strasbourg, 28, 293-299 .‏ Search in Google Scholar   Article view [2] Boulanba, L., & Mellouk, M. (2020). Large deviations for a stochastic Cahn–Hilliard equation in Hölder norm. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 23(02), 2050010.. Search in Google Scholar   Digital Object Identifier [3] Cahn, J. W., & Hilliard, J. E. (1971). Spinodal decomposition: A reprise. Acta Metallurgica, 19(2), 151-161.‏. Search in Google Scholar   Digital Object Identifier [4] Cahn, J. W., & Hilliard, J. E. (1958). Free energy of a nonuniform system. I. Interfacial free energy. The Journal of chemical physics, 28(2), 258-267.. Search in Google Scholar   Digital Object Identifier [5] Cardon-Weber, C. (2001). Cahn-Hilliard stochastic equation: existence of the solution and of its density. Bernoulli, 777-816.. Search in Google Scholar   Digital Object Identifier [6] Chenal, F., & Millet, A. (1997). Uniform large deviations for parabolic SPDEs and applications. Stochastic Processes and their Applications, 72(2), 161-186. Search in Google Scholar   Digital Object Identifier [7] Freidlin, M. I. (1970). On small random perturbations of dynamical systems. Russian Mathematical Surveys, 25(1), 1-55. Search in Google Scholar   Digital Object Identifier [8] Li, R., & Wang, X. (2018). Central limit theorem and moderate deviations for a stochastic Cahn-Hilliard equation. arXiv preprint arXiv:1810.05326.. Search in Google Scholar   Digital Object Identifier [9] Walsh, J. B. (1986). An introduction to stochastic partial differential equations. Lecture notes in mathematics, 265-439.‏.  Search in Google Scholar   Digital Object Identifier [10] Wang, R., & Zhang, T. (2015). Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Potential Analysis, 42, 99-113.‏. Search in Google Scholar   Digital Object Identifier   Communicated Editor: Chala Adel Manuscript received Dec 07, 2023; revised Fb 09, 2024; accepted Feb 16, 2024; published May 13, 2024

Developing Data Citations from Digital Object Identifier Metadata

NASA's Earth Science Data and Information System (ESDIS) Project has been processing information for the registration of Digital Object Identifiers (DOI) for the last five years of which an automated system has been in operation for the last two years. The ESDIS DOI registration system has registered over 2000 DOIs with over 1000 DOIs held in reserve until all required information has been collected. By working towards the goal of assigning DOIs to the 8000+ data collections under its management, ESDIS has taken the first step towards facilitating the use of data citations with those products. Jeanne Behnke, ESDIS Deputy Project Manager has reviewed and approved the poster

Object unified identifier method in logistics resource integration

Purpose: The status which many programs for the object identifier are not incompatible with each other has become a bottleneck for integrating logistics resources. Scholars have done some relevant studies in terms of coding and conversion mechanisms, but the problem still has not got a better solution. The purpose of this study is to research how to make the object identifier programs compatible. Design/methodology/approach: Author proposed an object unified identifier (OUID) method based on OID and introduced the standard identification code in it, according to the problems of the object identifier in logistics resource integration. And the paper further designed the acquisition process of the resource basic information and location information, and analyzed the application environment of object unified identifier based on OID. Findings: OUID made up for the lack of location information in conversion mechanism, and avoided to promote new unified identifier standards at the same time. The supplement of the application environment provided an important support to solve the problems of poor communication caused by non-unified object identifier in the process of logistics resource integration. Originality/value: Using this method, each identification system not only can keep its own territory, but also can compatible with other object identifiers.Peer Reviewe

Stabilization of the transmission Schrodinger equation with boundary time-varying delay

We consider a system of transmission of the Schrodinger equation with Neumann feedback control that contains a time-varying delay term and that acts on the exterior boundary. Using a suitable energy function and a suitable Lyapunov functionnal, we prove under appropriate assumptions that the solutions decay exponentially. Keywords: Schrodinger equation, transmission problem, time-varying delay, exponential stability, boundary stabilization. ¨ MSC: 35Q93, 93D15 REFERENCES [1] Allag, I., & Rebiai, S. (2014). Well-posedness, regularity and exact controllability for the problem of transmission of the Schrödinger equation. Quarterly of Applied Mathematics, 72(1), 93-108.‏. Search in Google Scholar   Digital Object Identifier MathSciNet [2] Bayili, G., Aissa, A. B., & Nicaise, S. (2020). Same decay rate of second order evolution equations with or without delay. Systems & Control Letters, 141, 104700.‏. Search in Google Scholar   Digital Object Identifier [3] Cavalcanti, M. M., Corrêa, W. J., Lasiecka, I., & Lefler, C. (2016). Well-posedness and uniform stability for nonlinear Schrödinger equations with dynamic/Wentzell boundary conditions. Indiana University Mathematics Journal, 1445-1502.‏. Search in Google Scholar   Article view [4] Chen, H., Xie, Y., & Genqi, X. (2019). Rapid stabilisation of multi-dimensional Schrödinger equation with the internal delay control. International Journal of Control, 92(11), 2521-2531. Search in Google Scholar   Digital Object Identifier [5] Cardoso, F., & Vodev, G. (2010). Boundary stabilization of transmission problems. Journal of mathematical physics, 51(2).‏ Search in Google Scholar   Digital Object Identifier [6] Cui, H. Y., Han, Z. J., & Xu, G. Q. (2016). Stabilization for Schrödinger equation with a time delay in the boundary input. Applicable Analysis, 95(5), 963-977.‏. Search in Google Scholar   Digital Object Identifier [7] Cui, H., Xu, G., & Chen, Y. (2019). Stabilization for Schrödinger equation with a distributed time delay in the boundary input. IMA Journal of Mathematical Control and Information, 36(4), 1305-1324.‏. Search in Google Scholar   Digital Object Identifier [8] Datko, R. (1988). Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedbacks. SIAM Journal on Control and Optimization, 26(3), 697-713.‏. Search in Google Scholar   Digital Object Identifier [9] Datko, R., Lagnese, J., & Polis, M. (1986). An example on the effect of time delays in boundary feedback stabilization of wave equations. SIAM Journal on Control and Optimization, 24(1), 152-156.‏. Search in Google Scholar   Digital Object Identifier [10] Guo, B. Z., & Mei, Z. D. (2019). Output feedback stabilization for a class of first-order equation setting of collocated well-posed linear systems with time delay in observation. IEEE Transactions on Automatic Control, 65(6), 2612-2618.‏. Search in Google Scholar   Digital Object Identifier [11] Guo, B. Z., & Yang, K. Y. (2010). Output feedback stabilization of a one-dimensional Schrödinger equation by boundary observation with time delay. IEEE Transactions on Automatic Control, 55(5), 1226-1232.‏. Search in Google Scholar   Digital Object Identifier [12] Kato, T. (1985). Abstract differential equations and nonlinear mixed problems (p. 89). Pisa: Scuola normale superiore.‏ Search in Google Scholar [13] Kato, T. (2011). Linear and quasi-linear equations of evolution of hyperbolic type. In Hyperbolicity: Lectures given at the Centro Internazionale Matematico Estivo (CIME), held in Cortona (Arezzo), Italy, June 24–July 2, 1976 (pp. 125-191). Berlin, Heidelberg: Springer Berlin Heidelberg.. Search in Google Scholar   Digital Object Identifier [14] B. Kellogg (1972) Properties of solutions of elliptic boundary value problems, in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations edited by A. K. Aziz, Academic Press, New York, 47-81. [15] Lasiecka, I., Triggiani, R., & Zhang, X. (2000). Nonconservative wave equations with unobserved Neumann BC: global uniqueness and observability in one shot. Contemporary Mathematics, 268, 227-326.‏. Search in Google Scholar   Article View [16] Machtyngier, E., & Zuazua, E. (1994). Stabilization of the Schrodinger equation. Portugaliae Mathematica, 51(2), 243-256.‏. Search in Google Scholar   Article view [17] Nicaise, S., & Rebiai, S. E. (2011). Stabilization of the Schrödinger equation with a delay term in boundary feedback or internal feedback. Portugaliae Mathematica, 68(1), 19-39.‏. Search in Google Scholar   Digital Object Identifier [18] Nicaise, S., & Pignotti, C. (2006). Stability and instability results of the wave equation with a delay term in the boundary or internal feedbacks. SIAM Journal on Control and Optimization, 45(5), 1561-1585.‏.  Search in Google Scholar   Digital Object Identifier [19] Nicaise, S., Pignotti, C., & Valein, J. (2011). Exponential stability of the wave equation with boundary time-varying delay. Discrete and Continuous Dynamical Systems-Series S, 4(3), 693-722. Search in Google Scholar   Article view [20] Rebiai, S. E., & Ali, F. S. (2016). Uniform exponential stability of the transmission wave equation with a delay term in the boundary feedback. IMA Journal of Mathematical Control and Information, 33(1), 1-20.‏. Search in Google Scholar   Digital Object Identifier [21] A.E. Taylor and D.C. Lay. (1980). Introduction to Functional Analysis. John Wiley and Sons, New York-Chichester-Brisbane Book View [22] Xu, G. Q., Yung, S. P., & Li, L. K. (2006). Stabilization of wave systems with input delay in the boundary control. ESAIM: Control, optimisation and calculus of variations, 12(4), 770-785. Search in Google Scholar   Digital Object Identifier [23] K.Y. Yang and C.Z. Yao (2013) Stabilization of one-dimensional Schrodinger equation with variable coefficient under delayed boundary output feedback. Asian J. Control, 15, 1531-1537.  Search in Google Scholar  Digital Object Identifier Communicated Editor: Pr. Baowei Feng Manuscript received Dec 26, 2023; revised Feb 23, 2024; accepted Mar 10, 2024; published May 19, 2024

Relationship between Sublinear Operators and their Subdifferentials for Certain Classes of Lipschitz Summability

Let SB(X, Y ) be the set of all bounded sublinear operators from a Banach space X into a complete Banach lattice Y ; which is a pointed convex cone not salient in Lip0(X, Y ). In this paper, we are interested in studying the relationship between T and its subdifferential ∇T (the set of all bounded linear operators u : X -→ Y such that u(x) ≤ T (x) for all x in X); concerning certain notions of Lipschitz summability. We also answer negatively a question posed previously concerning this type of relation in the linear case. For this, we introduce and study a new concept of summability in the category of Lipschitz operators, which we call ”super Lipschitz p-summing operators”. We prove some characterizations in terms of a domination theorem and some properties of this notion. Keywords: Banach lattice, Lipschitz p-dominated operator, Lipschitz p-summing operator, p-summing operator, sublinear operator MSC: Primary 46B25, 46T99; Secondary 47H99, 47L20 REFERENCES [1] Achour, D., & Belacel, A. (2014). Domination and factorization theorems for positive strongly p-summing operators. Positivity, 18(4), 785-804.   Search in Google Scholar   Digital Object Identifier [2] Achour, D., & Mezrag, L. (2004). Little Grothendieck's theorem for sublinear operators. Journal of mathematical analysis and applications, 296(2), 541-552.‏ Search in Google Scholar   Digital Object Identifier [3] Blasco, O. (1986). A class of operators from a Banach lattice into a Banach space. Collectanea mathematica, 13-22.‏ Search in Google Scholar   Article view [4] Chávez-Domínguez, J. A. (2011). Duality for Lipschitz p-summing operators. Journal of functional Analysis, 261(2), 387-407.‏ Search in Google Scholar   Digital Object Identifier [5] Chávez-Domínguez, J. (2012). Lipschitz (, )-mixing operators. Proceedings of the American Mathematical Society, 140(9), 3101-3115.‏ Search in Google Scholar   Digital Object Identifier [6] Chen, D., & Zheng, B. (2011). Remarks on Lipschitz -summing operators. Proceedings of the American Mathematical Society, 139(8), 2891-2898.‏ Search in Google Scholar   Digital Object Identifier [7] Chen, D., & Zheng, B. (2012). Lipschitz p-integral operators and Lipschitz p-nuclear operators. Nonlinear Analysis: Theory, Methods & Applications, 75(13), 5270-5282.‏  Search in Google Scholar   Digital Object Identifier [8] Cohen, J. S. (1973). Absolutely p-summing, p-nuclear operators and their conjugates. Mathematische Annalen, 201(3), 177-200.‏  Search in Google Scholar   Article View [9] Defant, A., & Floret, K. (1992). Tensor norms and operator ideals. Elsevier..‏  Search in Google Scholar   Article view [10] Diestel, J., Jarchow, H., & Tonge, A. (1995). Absolutely summing operators (No. 43). Cambridge university press.‏  Search in Google Scholar   Digital Object Identifier [11] Farmer, J., & Johnson, W. (2009). Lipschitz -summing operators. Proceedings of the American Mathematical Society, 137(9), 2989-2995.‏  Search in Google Scholar   Digital Object Identifier  MathSciNet [12] Krasteva, L.: The p+-Absolutely Summing Operators and Their Connection with (b-o)-Linear Operators [in Russian]. Diplomnaya Rabota (Thesis), Leningrad Univ., Leningrad (1971) [13] Linke, Y.E.: Linear operators without subdifferentials. Sibirskii Mathematicheskii Zhurnal, 32(3), 219-221 (1991)  [14] Lindenstrauss, J., & Pełczyński, A. (1968). Absolutely summing operators in $ℒ_ {p}$-spaces and their applications. Studia Mathematica, 29(3), 275-326.‏ Search in Google Scholar   Article view [15] Lindenstrauss, J., & Tzafriri, L. (2013). Classical Banach spaces II: function spaces (Vol. 97). Springer Science & Business Media.‏ Search in Google Scholar Digital Object Identifier [16] Meyer-Nieberg, P. (2012). Banach lattices. Springer Science & Business Media.‏ Search in Google Scholar   Book view [17] Mezrag, L., & Tallab, A. (2017). On Lipschitz $\tau (p)$-summing operators. In Colloquium Mathematicum (Vol. 147, pp. 95-114). Instytut Matematyczny Polskiej Akademii Nauk.‏ Search in Google Scholar   Digital Object Identifier [18] Pietsch, A. (1967). Absolut p-summierende Abbildungenin normierten Raumen. Studia Math., 28, 333-353.‏ Search in Google Scholar   Article view [19] Saadi, K. (2015). Some properties of Lipschitz strongly p-summing operators. Journal of Mathematical Analysis and Applications, 423(2), 1410-1426.‏ Search in Google Scholar   Digital Object Identifier [20] Yahi, R., Achour, D., & Rueda, P. (2016). Absolutely summing Lipschitz conjugates. Mediterranean Journal of Mathematics, 13, 1949-1961.‏ Search in Google Scholar   Digital Object Identifier Communicated Editor: Berbiche Mohamed Manuscript received Jan 17, 2024; revised Mar 27, 2024; accepted Apr 10, 2024; published May 13, 2024