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Anjali

Publications and source records attributed to Anjali.

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Locked In, Leaked Out: Measuring Isolation via Kernel Locks

Isolation is a critical property for shared infrastructure to limit exposure and interference among simultaneous running workloads. Cloud providers use different isolation mechanisms such as full Virtual Machines, microVMs, Linux containers, secure containers, etc., to confine workloads running in a multi-tenant environment. We propose a novel way to understand and measure performance interference and isolation at the system software layer that occurs due to shared access to data structures. We observe that interference takes place through shared structures, such as a kernel-level data structure, and that operating systems must synchronize access to these structures for safety. By measuring the level of synchronization between workloads, we can measure their ability to interfere and thus the amount of isolation the platform provides We demonstrate our method for measuring isolation by measuring the accesses to locks acquired in common across multiple workloads which indicates the amount of sharing through kernel data structures and hence the interference/isolation between two workloads. Furthermore, we identify the isolation properties of different kernel structures under different workloads and find that the file system journal and kernel page allocator are the most common sources of interference.

cs.OS

Multiplier Between Generalized Toeplitz Kernels

We develop a structural classification of multipliers between generalized Toeplitz kernels, extending the work of Fricain and Rupam. Our results establish new equivalences between multiplier space and Carleson-type embeddings, linking them to Beurling Malliavin densities, P\'olya sequences, and the spectral theory of entire functions.

math.FA

New Exponential operators connected with a^2+x^2: a generalization of Post-Widder and Ismail May

The present study offers a general exponential operator connected with a^2+x^2; for positive real "a". We estimate the asymptotic formula for simultaneous and ordinary approximation of the constructed operator. In the last section, we graphically interpret the created operator's convergence to two periodic functions "x sin(x)" and "-x/2*cos(pi*x)". We also consider the limiting case a tends to 0; which provides Post-Widder operator. In addition, we analyze each particular case of the defined operator and determine the optimal value of "a", that would yield the greatest approximation; this facilitates us to contrast the well-known operators existing in the literature, especially the Post-Widder operator and the operator due to Ismail-May.

math.FA

Cost-effective and performant virtual WANs with CORNIFER

Virtual wide-area networks (WANs) are WAN-as-a-service cloud offerings that aim to bring the performance benefits of dedicated wide-area interconnects to enterprise customers. In this work, we show that the topology of a virtual WAN can render it both performance and cost inefficient. We develop Cornifer, a tool that designs virtual WAN topologies by deciding the number of virtual WAN nodes and their location in the cloud to minimize connection latency at low cost to enterprises. By leveraging millions of latency measurements from vantage points across the world to cloud points of presence, Cornifer designs virtual WAN topologies that improve weighted client latency by 26% and lower cost by 28% compared to the state-of-the-art. Cornifer identifies virtual WAN topologies at the Pareto frontier of the deployment cost vs. connection latency trade-off and proposes a heuristic for automatic selection of Pareto-optimal virtual WAN topologies for enterprises.

cs.NI

Matrix representations of linear transformations on bicomplex space

An algebraic investigation on bicomplex numbers is carried out here. Particularly matrices and linear maps defined on them are discussed. A new kind of cartesian product, referred to as an idempotent product, is introduced and studied. The elements of this space are linear maps of a special form. These linear maps are examined with respect to usual notions like kernel, range, and singularity. Their matrix representation is also discussed.

math.RT