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The authors also propose to refresh the keys proactively in order to tolerate mobile adversaries, because the adversary will have to capture multiple shares during the same interval Thus, if the old keys under the control of the adversary are refreshed, then they will be of no use with the new keys that the adversary might compromise Additionally, the system can also be designed to adapt its con guration to the changes in the network For example, a key management service might start with a (7, 3) con guration but then modify this later to a (4, 2) combination since some servers were detected to be compromised while other servers were unavailable 3312 Fully Distributed Authority The studies [25] and [26] describe an approach for distributing the functions of a certi cation authority The difference compared to schemes in Section 3311, however, is that in this case any node instead of a chosen few can contain a share of the private key of the service A new node that does not have a certi cate will have to contact at least t 1 servers These servers can issue a certi cate to such a node after establishing the identity of the node Any t 1 nodes can also renew a certi cate In addition, a node that does not possess a share can obtain one by contacting any group of at least t 1 nodes that already possess the share The bootstrapping of the system, however, needs a trusted authority that provides the initial shares to the rst t 1 nodes 3313 Self-Issued Certi cates We next describe an approach where the security of the system does not rely on any trusted authority This is the self-organized approach that allows users to create, store, distribute, and revoke their own public keys without the help of any trusted authority Such a self-organized public key management approach for ad hoc networks has been considered in [27, 28] Each user decides their own public private key pair Other users issue certi cates to each other based on other factors such as personal acquaintances Each user then maintains in their personal repository the list of valid certi cates When a user A needs to authenticate a certi cate belonging to user B, then user A checks if a certi cate has been issued by itself to B earlier If not, user A checks if the repository contains a certi cate to any other user C who in turn has B s certi cate Thus, a chain of valid public key certi cates is obtained by user A such that the rst certi cate of the chain is one issued by A Further, each remaining certi cate in the chain can be veri ed using the public key contained in the previous certi cate of the chain The last certi cate of the chain should then contain the public key of user B Thus, certi cate chaining is used in order to authenticate public keys of users If A cannot form a certi cate chain to B, then A cannot authenticate B s public key In addition to this, another problem is related to bootstrapping the certi cate repository of a node without depending on a separate authentication channel 3314 Other Schemes Other approaches for solving the key management problem in ad hoc network have also been proposed In [29] and [30] it is proposed to derive the IP address of the node from the public key of the node This is done by hashing the public key and then using part of the hash value as the part of the IP address of the node As a result, it is easy to verify if a public key corresponds to a node with a given IP address, thereby addressing the key authentication problem associated with public keys A problem, however, arises when the private key corresponding to a public key is compromised, thereby making the public key unusable As a result a new public private key pair will.

TF (W )(d )

523 Hyperbolic processes DEFINITION 53 The operator L de ned in (108) is called hyperbolic if its symbol 1 d is of the form ( ) = i=1 | i |Hi + 2 THEOREM 55 (FRACTIONAL B ROWNIAN SHEET [LEG 99]) Fractional Brownian sheet, de ned as:

X(x) =

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Page 145 development, have an active stake in that project being completed on time and living up to its performance capability claims The client stakeholder group can impact project team operations in a number of ways, the most common of which are agitating for faster development, working closely with the team to ease project transfer problems, and influencing top management in the parent organization to continue supporting the project On the other hand, the project team can reciprocate this support through actions that show their willingness to closely cooperate with the client and effect smooth transition of the project to its intended user groups The key point is that project stakeholder analysis solidifies the fact that in addition to considering all the managerial activities involved in project development, project managers need to be aware of the ways in which attaining the project s goals can impact a host of external stakeholders outside of their authority Further, project managers must develop an appreciation for the ways in which these stakeholder groups, some of which have considerable power and influence, can affect the viability of their projects There is an old saying, Never get the accountant mad The obvious logic behind this dictum is that cost accountants can make the project manager s life easy or very difficult, depending on the format, frequency, and detail of the reports they request to monitor and control project expenditures In this chapter, we explore the concept of stakeholder analysis as it forms a backdrop for customerbased project development and implementation Stakeholders, while having varying levels of power and influence over the project, nevertheless have the potential to exert a number of significant demands of project managers and their teams This problem is compounded by the fact that the nature of these various demands quite often places them in direct conflict with each other That is, in responding to the concerns of one stakeholder, project managers often unwittingly find themselves having offended or angered another stakeholder with an entirely different.

TF (W )(d )

.

satis es the following equality: X( 1 x1 , , d xd ) =

COROLLARY 51 When 1 = = d and H = H1 + + Hd , the hyperbolic process X obtained is self-similar with parameter H, with H between 0 and d In contrast with the elliptic case, H > 1 is hence allowed, though the Brownian fractional sheet is non-derivable

524 Parabolic processes Let A be a pseudo-differential operator of dimension n 1, ie, its symbol is a function of Rn 1 in R Let L be the pseudo-differential operator of dimension n, whose symbol is a function of R Rn 1 in R and de ned by L = t A Let us consider the stochastic differential equation LX = W By analogy with the classi cation of operators, X is said to be parabolic The most prominent example is the Ornstein-Uehlenbeck process:

OU (t, x) =

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