Analyticity results in Bernoulli percolation

We prove (rigorously) that in 2-dimensional Bernoulli percolation, the percolation density is an analytic function of the parameter in the supercritical interval. For this we introduce some techniques that have further implications. In particular, we prove that the susceptibility is analytic in the subcritical interval for all transitive short- or long-range models, and that p bond c < 1/2 for certain families of triangulations for which Benjamini & Schramm conjectured that p site c ≤ 1/2

Detection of Fake Generated Scientific Abstracts

The widespread adoption of Large Language Models and publicly available ChatGPT has marked a significant turning point in the integration of Artificial Intelligence into people's everyday lives. The academic community has taken notice of these technological advancements and has expressed concerns regarding the difficulty of discriminating between what is real and what is artificially generated. Thus, researchers have been working on developing effective systems to identify machine-generated text. In this study, we utilize the GPT-3 model to generate scientific paper abstracts through Artificial Intelligence and explore various text representation methods when combined with Machine Learning models with the aim of identifying machine-written text. We analyze the models' performance and address several research questions that rise during the analysis of the results. By conducting this research, we shed light on the capabilities and limitations of Artificial Intelligence generated text

Minimally Invasive “IPG-Det Technique” with Autologous CGF and Human Umbilical Cord Blood Derived Mesenchymal Stem Cells towards Posterior Atrophic Maxilla Reconstruction - Case Report

Rehabilitation of maxilla in Implant Dentistry, especially in posterior edentulism is primarily treated with large and painful surgical approaches due to residual ridge atrophy and maxillary sinus pneumatization. Sinus Floor Elevation (SFE), especially in its “lateral version” is considered as the “gold-standard” for over four decades, despite the well documented post-operative morbidity and complications. As an alternative, the novel protocol named “IPG-DET Technique” minimally invasive and equally safe-efficient, promotes sinus membrane intentional perforation secured by healing and augmentative potential of autologous concentrated growth factors and CD34-Stem Cells Matrix. This study further investigates the efficiency and healing process of “IPG-DET Technique” amplified by Mesenchymal Stem Cells clinical use, derived from human Umbilical Cord Blood for posterior atrophic maxilla reconstruction. Preliminary results have shown safe and inductive bone regeneration within sinus cavity. All implants loaded, 4 months after implant placement, showed high primary stability until final fixed prosthetic rehabilitation

Control channels for the cooperation of cognitive management systems in opportunistic and composite wireless networks

Opportunistic Networks (ONs) are assumed to be temporary, localized extensions of the infrastructure network that are created under certain circumstances. According to that vision, ONs are coordinated by the radio access network (RAN) operator which governs the overal system behaviour (e.g. ON related policies), provides the neccessary resources (e.g. dedicated specturm bands) and supports users in decision making (e.g. additional knowledge and context information). ONs comprise both nodes of the infrastructure and infrastructure-less devices. For the management and control of operator-governed ONs the introduction of Cognitive Management Systems (CMSs), localized on the terminal and infrastructure side, is proposed. The cooperation of CMS entities will require existence of well-defined control channels. In order to enable the necessary signalling between the CMS entities, Control Channels for the Cooperation of the Cognitive Management Systems (C4 MS) are proposed.Peer ReviewedPostprint (published version

Cognitive control channels for the cooperation of opportunistic and composite wireless networks

Opportunistic networks (ONs) are considered as coordinated extensions of a radio access network infrastructure, which are dynamically and temporarily created in an infrastructure-less manner in order to increase service reachability, improve resource utilization efficiency and facilitate localised service provisioning. The realization of the ON concept relies on the existence of control channels which will provide necessary signalling for the coordination of the ON nodes. Proposed control channels are conceived as an evolution of the already established cognitive pilot channel concept. As a result, new interfaces are discussed in order to convey information from the infrastructure to the terminals and vice versa or between terminals. Finally, the business benefits of the aforementioned approach are provided in order to strengthen the notion of the proposed control channels and consider future expansions.Peer ReviewedPostprint (published version